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Finding the Fourth Proportional to 332,197,665.98, 498,296,498.96 and 332,197,665.98

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Solution

The fourth proportional to 332,197,665.98, 498,296,498.96 and 332,197,665.98 is: 498,296,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,197,665.98 : 498,296,498.96 = 332,197,665.98 : x
  2. Step 2: Convert to fraction form
    332,197,665.98/498,296,498.96 = 332,197,665.98/x
  3. Step 3: Cross multiply
    332,197,665.98x = 498,296,498.96 × 332,197,665.98
  4. Step 4: Simplify right side
    332,197,665.98x = 165,532,933,918,856,512
  5. Step 5: Solve for x
    x = 165,532,933,918,856,512/332,197,665.98
  6. Step 6: Final answer
    x = 498,296,498.96

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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.