Finding the Fourth Proportional to 852,018,534,194.75, 1,175,822,537,138.90 and 471,829,894,322.75
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Solution
The fourth proportional to 852,018,534,194.75, 1,175,822,537,138.90 and 471,829,894,322.75 is: 651,145,721,806.26
Step by Step Solution
- Step 1: Write the proportion equation
852,018,534,194.75 : 1,175,822,537,138.90 = 471,829,894,322.75 : x - Step 2: Convert to fraction form
852,018,534,194.75/1,175,822,537,138.90 = 471,829,894,322.75/x - Step 3: Cross multiply
852,018,534,194.75x = 1,175,822,537,138.90 × 471,829,894,322.75 - Step 4: Simplify right side
852,018,534,194.75x = 554,788,223,440,554,945,413,120 - Step 5: Solve for x
x = 554,788,223,440,554,945,413,120/852,018,534,194.75 - Step 6: Final answer
x = 651,145,721,806.26
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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.