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Finding the Fourth Proportional to 267,127,963.20, 400,691,944.80 and 267,127,963.20

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Solution

The fourth proportional to 267,127,963.20, 400,691,944.80 and 267,127,963.20 is: 400,691,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,127,963.20 : 400,691,944.80 = 267,127,963.20 : x
  2. Step 2: Convert to fraction form
    267,127,963.20/400,691,944.80 = 267,127,963.20/x
  3. Step 3: Cross multiply
    267,127,963.20x = 400,691,944.80 × 267,127,963.20
  4. Step 4: Simplify right side
    267,127,963.20x = 107,036,023,085,070,832
  5. Step 5: Solve for x
    x = 107,036,023,085,070,832/267,127,963.20
  6. Step 6: Final answer
    x = 400,691,944.80

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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.