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Finding the Fourth Proportional to 1,337,665,513.60, 2,006,498,270.40 and 1,337,665,513.60

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Solution

The fourth proportional to 1,337,665,513.60, 2,006,498,270.40 and 1,337,665,513.60 is: 2,006,498,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,665,513.60 : 2,006,498,270.40 = 1,337,665,513.60 : x
  2. Step 2: Convert to fraction form
    1,337,665,513.60/2,006,498,270.40 = 1,337,665,513.60/x
  3. Step 3: Cross multiply
    1,337,665,513.60x = 2,006,498,270.40 × 1,337,665,513.60
  4. Step 4: Simplify right side
    1,337,665,513.60x = 2,684,023,539,412,127,744
  5. Step 5: Solve for x
    x = 2,684,023,539,412,127,744/1,337,665,513.60
  6. Step 6: Final answer
    x = 2,006,498,270.40

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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.