Finding the Fourth Proportional to 701,154,659,098, 1,052,412,090,558.50 and 338,375,627,307
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Solution
The fourth proportional to 701,154,659,098, 1,052,412,090,558.50 and 338,375,627,307 is: 507,891,656,580.19
Step by Step Solution
- Step 1: Write the proportion equation
701,154,659,098 : 1,052,412,090,558.50 = 338,375,627,307 : x - Step 2: Convert to fraction form
701,154,659,098/1,052,412,090,558.50 = 338,375,627,307/x - Step 3: Cross multiply
701,154,659,098x = 1,052,412,090,558.50 × 338,375,627,307 - Step 4: Simplify right side
701,154,659,098x = 356,110,601,328,203,726,323,712 - Step 5: Solve for x
x = 356,110,601,328,203,726,323,712/701,154,659,098 - Step 6: Final answer
x = 507,891,656,580.19
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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.