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Finding the Fourth Proportional to 36,200,981,577.20, 54,301,472,365.80 and 36,200,981,577.20

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Solution

The fourth proportional to 36,200,981,577.20, 54,301,472,365.80 and 36,200,981,577.20 is: 54,301,472,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200,981,577.20 : 54,301,472,365.80 = 36,200,981,577.20 : x
  2. Step 2: Convert to fraction form
    36,200,981,577.20/54,301,472,365.80 = 36,200,981,577.20/x
  3. Step 3: Cross multiply
    36,200,981,577.20x = 54,301,472,365.80 × 36,200,981,577.20
  4. Step 4: Simplify right side
    36,200,981,577.20x = 1,965,766,600,729,160,581,120
  5. Step 5: Solve for x
    x = 1,965,766,600,729,160,581,120/36,200,981,577.20
  6. Step 6: Final answer
    x = 54,301,472,365.80

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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.