Finding the Fourth Proportional to 435,412,841,107.38, 653,121,327,402.18 and 133,224,961,842.15
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Solution
The fourth proportional to 435,412,841,107.38, 653,121,327,402.18 and 133,224,961,842.15 is: 199,838,074,826.07
Step by Step Solution
- Step 1: Write the proportion equation
435,412,841,107.38 : 653,121,327,402.18 = 133,224,961,842.15 : x - Step 2: Convert to fraction form
435,412,841,107.38/653,121,327,402.18 = 133,224,961,842.15/x - Step 3: Cross multiply
435,412,841,107.38x = 653,121,327,402.18 × 133,224,961,842.15 - Step 4: Simplify right side
435,412,841,107.38x = 87,012,063,921,449,784,573,952 - Step 5: Solve for x
x = 87,012,063,921,449,784,573,952/435,412,841,107.38 - Step 6: Final answer
x = 199,838,074,826.07
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.