Finding the Fourth Proportional to 435,412,841,105.88, 653,121,327,399.93 and 133,224,961,840.65
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Solution
The fourth proportional to 435,412,841,105.88, 653,121,327,399.93 and 133,224,961,840.65 is: 199,838,074,823.82
Step by Step Solution
- Step 1: Write the proportion equation
435,412,841,105.88 : 653,121,327,399.93 = 133,224,961,840.65 : x - Step 2: Convert to fraction form
435,412,841,105.88/653,121,327,399.93 = 133,224,961,840.65/x - Step 3: Cross multiply
435,412,841,105.88x = 653,121,327,399.93 × 133,224,961,840.65 - Step 4: Simplify right side
435,412,841,105.88x = 87,012,063,920,170,354,081,792 - Step 5: Solve for x
x = 87,012,063,920,170,354,081,792/435,412,841,105.88 - Step 6: Final answer
x = 199,838,074,823.82
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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.