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Finding the Fourth Proportional to 951,998,511.53, 1,427,997,767.29 and 951,998,511.53

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Solution

The fourth proportional to 951,998,511.53, 1,427,997,767.29 and 951,998,511.53 is: 1,427,997,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,998,511.53 : 1,427,997,767.29 = 951,998,511.53 : x
  2. Step 2: Convert to fraction form
    951,998,511.53/1,427,997,767.29 = 951,998,511.53/x
  3. Step 3: Cross multiply
    951,998,511.53x = 1,427,997,767.29 × 951,998,511.53
  4. Step 4: Simplify right side
    951,998,511.53x = 1,359,451,748,918,723,328
  5. Step 5: Solve for x
    x = 1,359,451,748,918,723,328/951,998,511.53
  6. Step 6: Final answer
    x = 1,427,997,767.29

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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.