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Finding the Fourth Proportional to 495,794,437.14, 743,782,456.90 and 204,502,656.90

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Solution

The fourth proportional to 495,794,437.14, 743,782,456.90 and 204,502,656.90 is: 306,791,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,794,437.14 : 743,782,456.90 = 204,502,656.90 : x
  2. Step 2: Convert to fraction form
    495,794,437.14/743,782,456.90 = 204,502,656.90/x
  3. Step 3: Cross multiply
    495,794,437.14x = 743,782,456.90 × 204,502,656.90
  4. Step 4: Simplify right side
    495,794,437.14x = 152,105,488,591,659,744
  5. Step 5: Solve for x
    x = 152,105,488,591,659,744/495,794,437.14
  6. Step 6: Final answer
    x = 306,791,438.54

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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.