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Finding the Fourth Proportional to 493,857,103.80, 740,785,655.70 and 413,503,224.60

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Solution

The fourth proportional to 493,857,103.80, 740,785,655.70 and 413,503,224.60 is: 620,254,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,857,103.80 : 740,785,655.70 = 413,503,224.60 : x
  2. Step 2: Convert to fraction form
    493,857,103.80/740,785,655.70 = 413,503,224.60/x
  3. Step 3: Cross multiply
    493,857,103.80x = 740,785,655.70 × 413,503,224.60
  4. Step 4: Simplify right side
    493,857,103.80x = 306,317,257,369,375,424
  5. Step 5: Solve for x
    x = 306,317,257,369,375,424/493,857,103.80
  6. Step 6: Final answer
    x = 620,254,836.90

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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.