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Finding the Fourth Proportional to 6,065,981,567.85, 9,098,972,351.78 and 6,065,981,567.85

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Solution

The fourth proportional to 6,065,981,567.85, 9,098,972,351.78 and 6,065,981,567.85 is: 9,098,972,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,981,567.85 : 9,098,972,351.78 = 6,065,981,567.85 : x
  2. Step 2: Convert to fraction form
    6,065,981,567.85/9,098,972,351.78 = 6,065,981,567.85/x
  3. Step 3: Cross multiply
    6,065,981,567.85x = 9,098,972,351.78 × 6,065,981,567.85
  4. Step 4: Simplify right side
    6,065,981,567.85x = 55,194,198,572,243,918,848
  5. Step 5: Solve for x
    x = 55,194,198,572,243,918,848/6,065,981,567.85
  6. Step 6: Final answer
    x = 9,098,972,351.78

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Double scale
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Similar ratio
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1.5x scale

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.