Progressions Part 2

Algebra Level 3

In a set of four numbers, the first three numbers are in a geometric progression, and the last three numbers are in arithmetic progression which has a common difference of 6.

If the first number is the same as the last number, find all the four terms. Give your answer as the sum of all the four terms.

Details and Assumptions:

As an explicit example, if the four numbers are 1,2,3,4 then give your answer as, $1+2+3+4=10$ .

Progressions Part 2

Try part 1 and part 3 as well!