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Finding the Fourth Proportional to 381,291,330.83, 571,936,996.24 and 381,291,330.83

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Solution

The fourth proportional to 381,291,330.83, 571,936,996.24 and 381,291,330.83 is: 571,936,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,291,330.83 : 571,936,996.24 = 381,291,330.83 : x
  2. Step 2: Convert to fraction form
    381,291,330.83/571,936,996.24 = 381,291,330.83/x
  3. Step 3: Cross multiply
    381,291,330.83x = 571,936,996.24 × 381,291,330.83
  4. Step 4: Simplify right side
    381,291,330.83x = 218,074,618,443,449,376
  5. Step 5: Solve for x
    x = 218,074,618,443,449,376/381,291,330.83
  6. Step 6: Final answer
    x = 571,936,996.24

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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.