There are four real numbers. The first three numbers form an equal ratio sequence, and their product is - 64. The last three numbers form an equal difference sequence, and their product is - 640 Find these four numbers, find the detailed process

There are four real numbers. The first three numbers form an equal ratio sequence, and their product is - 64. The last three numbers form an equal difference sequence, and their product is - 640 Find these four numbers, find the detailed process

Let the first three numbers be - 4 / Q, the third number be - 4q, and the last three numbers be - 640. Therefore, the fourth number is - 8q + 4. From the problem, (- 4) × (- 4q) × (- 8q + 4) = - 640, that is, q (2q-1) = 102q & # 178; - Q-10 = 0 solution