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Finding the Fourth Proportional to 360,676,407.76, 497,691,452.01 and 201,915,224.25

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Solution

The fourth proportional to 360,676,407.76, 497,691,452.01 and 201,915,224.25 is: 278,619,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,676,407.76 : 497,691,452.01 = 201,915,224.25 : x
  2. Step 2: Convert to fraction form
    360,676,407.76/497,691,452.01 = 201,915,224.25/x
  3. Step 3: Cross multiply
    360,676,407.76x = 497,691,452.01 × 201,915,224.25
  4. Step 4: Simplify right side
    360,676,407.76x = 100,491,481,138,798,112
  5. Step 5: Solve for x
    x = 100,491,481,138,798,112/360,676,407.76
  6. Step 6: Final answer
    x = 278,619,502.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.