Finding the Fourth Proportional to 852,018,534,326.76, 1,175,822,537,321.10 and 471,829,894,454.78
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Solution
The fourth proportional to 852,018,534,326.76, 1,175,822,537,321.10 and 471,829,894,454.78 is: 651,145,721,988.48
Step by Step Solution
- Step 1: Write the proportion equation
852,018,534,326.76 : 1,175,822,537,321.10 = 471,829,894,454.78 : x - Step 2: Convert to fraction form
852,018,534,326.76/1,175,822,537,321.10 = 471,829,894,454.78/x - Step 3: Cross multiply
852,018,534,326.76x = 1,175,822,537,321.10 × 471,829,894,454.78 - Step 4: Simplify right side
852,018,534,326.76x = 554,788,223,681,766,281,445,376 - Step 5: Solve for x
x = 554,788,223,681,766,281,445,376/852,018,534,326.76 - Step 6: Final answer
x = 651,145,721,988.48
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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.