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Finding the Fourth Proportional to 490,613,306,735.70, 735,919,960,103.55 and 490,613,306,735.70

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Solution

The fourth proportional to 490,613,306,735.70, 735,919,960,103.55 and 490,613,306,735.70 is: 735,919,960,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,306,735.70 : 735,919,960,103.55 = 490,613,306,735.70 : x
  2. Step 2: Convert to fraction form
    490,613,306,735.70/735,919,960,103.55 = 490,613,306,735.70/x
  3. Step 3: Cross multiply
    490,613,306,735.70x = 735,919,960,103.55 × 490,613,306,735.70
  4. Step 4: Simplify right side
    490,613,306,735.70x = 361,052,125,119,207,138,394,112
  5. Step 5: Solve for x
    x = 361,052,125,119,207,138,394,112/490,613,306,735.70
  6. Step 6: Final answer
    x = 735,919,960,103.55

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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.