Finding the Fourth Proportional to 29,815,619,397,334, 44,727,900,914,984 and 10,472,216,593,307
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Solution
The fourth proportional to 29,815,619,397,334, 44,727,900,914,984 and 10,472,216,593,307 is: 15,709,895,538,429.41
Step by Step Solution
- Step 1: Write the proportion equation
29,815,619,397,334 : 44,727,900,914,984 = 10,472,216,593,307 : x - Step 2: Convert to fraction form
29,815,619,397,334/44,727,900,914,984 = 10,472,216,593,307/x - Step 3: Cross multiply
29,815,619,397,334x = 44,727,900,914,984 × 10,472,216,593,307 - Step 4: Simplify right side
29,815,619,397,334x = 468,400,266,145,686,793,450,684,416 - Step 5: Solve for x
x = 468,400,266,145,686,793,450,684,416/29,815,619,397,334 - Step 6: Final answer
x = 15,709,895,538,429.41
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.