Question: Who is Titus Tarquinius's paternal grandfather?

Knowledge 1: Titus Tarquinius
Titus was the eldest son of Lucius Tarquinius Superbus, the last king of Rome.During his father's reign, he accompanied his younger brother Aruns and his cousin Lucius Junius Brutus to consult the Oracle at Delphi to have interpreted an omen witnessed by the king.In 509 BC, upon the overthrow of the monarchy, Titus went into exile at Caere with his father and his brother Aruns.In around 496 BC he fought with his father and the Latins against Rome at the Battle of Lake Regillus.During the battle, Marcus Valerius Volusus, who had been the Roman consul in 505 BC, charged Titus in an attempt to slay him, but was himself killed by Titus' men. [SEP] Knowledge 2: Lucius Tarquinius Superbus
Lucius Tarquinius Superbus (died 495 BC) was the legendary seventh and final king of Rome, reigning from 535 BC until the popular uprising in 509 BC that led to the establishment of the Roman Republic.He is commonly known as Tarquin the Proud, from his cognomen "Superbus" (Latin for "proud, arrogant, lofty").Ancient accounts of the regal period mingle history and legend.Tarquin was said to have been the son or grandson of Lucius Tarquinius Priscus, the fifth king of Rome, and to have gained the throne through the murders of both his wife and his elder brother, followed by the assassination of his predecessor, Servius Tullius.His reign is described as a tyranny that justified the abolition of the monarchy.
Knowledge 1: Titus Tarquinius
Titus was the eldest son of Lucius Tarquinius Superbus, the last king of Rome.During his father's reign, he accompanied his younger brother Aruns and his cousin Lucius Junius Brutus to consult the Oracle at Delphi to have interpreted an omen witnessed by the king.In 509 BC, upon the overthrow of the monarchy, Titus went into exile at Caere with his father and his brother Aruns.In around 496 BC he fought with his father and the Latins against Rome at the Battle of Lake Regillus.During the battle, Marcus Valerius Volusus, who had been the Roman consul in 505 BC, charged Titus in an attempt to slay him, but was himself killed by Titus' men. [SEP] Knowledge 2: Fujiwara no Nagara
, also known as Fujiwara no Nagayoshi, was a Japanese statesman, courtier and politician of the early Heian period.He was the grandfather of Emperor Yōzei.
Knowledge 1: Titus Tarquinius
Titus was the eldest son of Lucius Tarquinius Superbus, the last king of Rome.During his father's reign, he accompanied his younger brother Aruns and his cousin Lucius Junius Brutus to consult the Oracle at Delphi to have interpreted an omen witnessed by the king.In 509 BC, upon the overthrow of the monarchy, Titus went into exile at Caere with his father and his brother Aruns.In around 496 BC he fought with his father and the Latins against Rome at the Battle of Lake Regillus.During the battle, Marcus Valerius Volusus, who had been the Roman consul in 505 BC, charged Titus in an attempt to slay him, but was himself killed by Titus' men. [SEP] Knowledge 2: Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.

Answer: Lucius Tarquinius Priscus