Finding the Fourth Proportional to 66,180,729,664.80, 91,329,282,568.08 and 36,107,234,578.08
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Solution
The fourth proportional to 66,180,729,664.80, 91,329,282,568.08 and 36,107,234,578.08 is: 49,827,915,863.66
Step by Step Solution
- Step 1: Write the proportion equation
66,180,729,664.80 : 91,329,282,568.08 = 36,107,234,578.08 : x - Step 2: Convert to fraction form
66,180,729,664.80/91,329,282,568.08 = 36,107,234,578.08/x - Step 3: Cross multiply
66,180,729,664.80x = 91,329,282,568.08 × 36,107,234,578.08 - Step 4: Simplify right side
66,180,729,664.80x = 3,297,647,829,533,417,537,536 - Step 5: Solve for x
x = 3,297,647,829,533,417,537,536/66,180,729,664.80 - Step 6: Final answer
x = 49,827,915,863.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.