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Finding the Fourth Proportional to 269,052,046.20, 402,940,340.10 and 269,052,046.20

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Solution

The fourth proportional to 269,052,046.20, 402,940,340.10 and 269,052,046.20 is: 402,940,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,052,046.20 : 402,940,340.10 = 269,052,046.20 : x
  2. Step 2: Convert to fraction form
    269,052,046.20/402,940,340.10 = 269,052,046.20/x
  3. Step 3: Cross multiply
    269,052,046.20x = 402,940,340.10 × 269,052,046.20
  4. Step 4: Simplify right side
    269,052,046.20x = 108,411,923,000,428,912
  5. Step 5: Solve for x
    x = 108,411,923,000,428,912/269,052,046.20
  6. Step 6: Final answer
    x = 402,940,340.10

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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.