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Finding the Fourth Proportional to 537,647,997.60, 806,471,996.40 and 537,647,997.60

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Solution

The fourth proportional to 537,647,997.60, 806,471,996.40 and 537,647,997.60 is: 806,471,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,647,997.60 : 806,471,996.40 = 537,647,997.60 : x
  2. Step 2: Convert to fraction form
    537,647,997.60/806,471,996.40 = 537,647,997.60/x
  3. Step 3: Cross multiply
    537,647,997.60x = 806,471,996.40 × 537,647,997.60
  4. Step 4: Simplify right side
    537,647,997.60x = 433,598,053,984,934,400
  5. Step 5: Solve for x
    x = 433,598,053,984,934,400/537,647,997.60
  6. Step 6: Final answer
    x = 806,471,996.40

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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.