Finding the Fourth Proportional to 212,800,092,638.24, 293,663,936,177.20 and 120,120,459,295.92
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Solution
The fourth proportional to 212,800,092,638.24, 293,663,936,177.20 and 120,120,459,295.92 is: 165,766,125,638.96
Step by Step Solution
- Step 1: Write the proportion equation
212,800,092,638.24 : 293,663,936,177.20 = 120,120,459,295.92 : x - Step 2: Convert to fraction form
212,800,092,638.24/293,663,936,177.20 = 120,120,459,295.92/x - Step 3: Cross multiply
212,800,092,638.24x = 293,663,936,177.20 × 120,120,459,295.92 - Step 4: Simplify right side
212,800,092,638.24x = 35,275,046,892,253,002,858,496 - Step 5: Solve for x
x = 35,275,046,892,253,002,858,496/212,800,092,638.24 - Step 6: Final answer
x = 165,766,125,638.96
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1.5x scale
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.