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Finding the Fourth Proportional to 252,282,905.40, 378,424,358.10 and 252,282,905.40

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Solution

The fourth proportional to 252,282,905.40, 378,424,358.10 and 252,282,905.40 is: 378,424,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,282,905.40 : 378,424,358.10 = 252,282,905.40 : x
  2. Step 2: Convert to fraction form
    252,282,905.40/378,424,358.10 = 252,282,905.40/x
  3. Step 3: Cross multiply
    252,282,905.40x = 378,424,358.10 × 252,282,905.40
  4. Step 4: Simplify right side
    252,282,905.40x = 95,469,996,535,598,032
  5. Step 5: Solve for x
    x = 95,469,996,535,598,032/252,282,905.40
  6. Step 6: Final answer
    x = 378,424,358.10

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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.