Complex sentence: After the death of Joseph Stalin, international touring companies from the Bolshoi became an important source of cultural prestige, as well as foreign currency earnings, and as a result the "Bolshoi Ballet" became a well-known name in the West.
Split into simpler sentences: After the death of Joseph Stalin, international touring companies went out from the Bolshoi and became an important source of cultural prestige, as well as foreign currency earnings. As a result, the "Bolshoi Ballet" became a well-known name in the West.