Whenever you book a helicopter tour around the world you'll be booking a flight that is shared; so you'll be flying with other likeminded passengers such as yourself.
What this means is the helicopter ride will not be private as others will join you as the helicopter service need to book all seats in order to operate profitably.
However, if you have the money you can book a private helicopter ride by booking all seats.
To do that you will be charged from 4 to 6 seats which will depend on the passenger capacity.