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Finding the Fourth Proportional to 472,138,207.40, 708,207,311.10 and 299,951,323.40

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Solution

The fourth proportional to 472,138,207.40, 708,207,311.10 and 299,951,323.40 is: 449,926,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,138,207.40 : 708,207,311.10 = 299,951,323.40 : x
  2. Step 2: Convert to fraction form
    472,138,207.40/708,207,311.10 = 299,951,323.40/x
  3. Step 3: Cross multiply
    472,138,207.40x = 708,207,311.10 × 299,951,323.40
  4. Step 4: Simplify right side
    472,138,207.40x = 212,427,720,206,000,512
  5. Step 5: Solve for x
    x = 212,427,720,206,000,512/472,138,207.40
  6. Step 6: Final answer
    x = 449,926,985.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.