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Finding the Fourth Proportional to 409,251,446.20, 613,877,169.30 and 409,251,446.20

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Solution

The fourth proportional to 409,251,446.20, 613,877,169.30 and 409,251,446.20 is: 613,877,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,251,446.20 : 613,877,169.30 = 409,251,446.20 : x
  2. Step 2: Convert to fraction form
    409,251,446.20/613,877,169.30 = 409,251,446.20/x
  3. Step 3: Cross multiply
    409,251,446.20x = 613,877,169.30 × 409,251,446.20
  4. Step 4: Simplify right side
    409,251,446.20x = 251,230,119,325,187,200
  5. Step 5: Solve for x
    x = 251,230,119,325,187,200/409,251,446.20
  6. Step 6: Final answer
    x = 613,877,169.30

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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.