Finding the Fourth Proportional to 852,018,534,194.12, 1,175,822,537,138.10 and 471,829,894,322.12
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Solution
The fourth proportional to 852,018,534,194.12, 1,175,822,537,138.10 and 471,829,894,322.12 is: 651,145,721,805.43
Step by Step Solution
- Step 1: Write the proportion equation
852,018,534,194.12 : 1,175,822,537,138.10 = 471,829,894,322.12 : x - Step 2: Convert to fraction form
852,018,534,194.12/1,175,822,537,138.10 = 471,829,894,322.12/x - Step 3: Cross multiply
852,018,534,194.12x = 1,175,822,537,138.10 × 471,829,894,322.12 - Step 4: Simplify right side
852,018,534,194.12x = 554,788,223,439,436,777,521,152 - Step 5: Solve for x
x = 554,788,223,439,436,777,521,152/852,018,534,194.12 - Step 6: Final answer
x = 651,145,721,805.43
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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.