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Finding the Fourth Proportional to 273,502,502.40, 410,253,753.60 and 82,026,278.40

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Solution

The fourth proportional to 273,502,502.40, 410,253,753.60 and 82,026,278.40 is: 123,039,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502,502.40 : 410,253,753.60 = 82,026,278.40 : x
  2. Step 2: Convert to fraction form
    273,502,502.40/410,253,753.60 = 82,026,278.40/x
  3. Step 3: Cross multiply
    273,502,502.40x = 410,253,753.60 × 82,026,278.40
  4. Step 4: Simplify right side
    273,502,502.40x = 33,651,588,607,438,608
  5. Step 5: Solve for x
    x = 33,651,588,607,438,608/273,502,502.40
  6. Step 6: Final answer
    x = 123,039,417.60

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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.