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Finding the Fourth Proportional to 575,201,105.60, 862,801,658.40 and 399,187,846.40

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Solution

The fourth proportional to 575,201,105.60, 862,801,658.40 and 399,187,846.40 is: 598,781,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,201,105.60 : 862,801,658.40 = 399,187,846.40 : x
  2. Step 2: Convert to fraction form
    575,201,105.60/862,801,658.40 = 399,187,846.40/x
  3. Step 3: Cross multiply
    575,201,105.60x = 862,801,658.40 × 399,187,846.40
  4. Step 4: Simplify right side
    575,201,105.60x = 344,419,935,887,044,416
  5. Step 5: Solve for x
    x = 344,419,935,887,044,416/575,201,105.60
  6. Step 6: Final answer
    x = 598,781,769.60

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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.