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Finding the Fourth Proportional to 298,944,458.40, 448,416,687.60 and 225,286,735.80

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Solution

The fourth proportional to 298,944,458.40, 448,416,687.60 and 225,286,735.80 is: 337,930,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944,458.40 : 448,416,687.60 = 225,286,735.80 : x
  2. Step 2: Convert to fraction form
    298,944,458.40/448,416,687.60 = 225,286,735.80/x
  3. Step 3: Cross multiply
    298,944,458.40x = 448,416,687.60 × 225,286,735.80
  4. Step 4: Simplify right side
    298,944,458.40x = 101,022,331,827,652,352
  5. Step 5: Solve for x
    x = 101,022,331,827,652,352/298,944,458.40
  6. Step 6: Final answer
    x = 337,930,103.70

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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.