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Finding the Fourth Proportional to 111,755,962,861.20, 167,633,944,291.80 and 111,755,962,861.20

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Solution

The fourth proportional to 111,755,962,861.20, 167,633,944,291.80 and 111,755,962,861.20 is: 167,633,944,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,755,962,861.20 : 167,633,944,291.80 = 111,755,962,861.20 : x
  2. Step 2: Convert to fraction form
    111,755,962,861.20/167,633,944,291.80 = 111,755,962,861.20/x
  3. Step 3: Cross multiply
    111,755,962,861.20x = 167,633,944,291.80 × 111,755,962,861.20
  4. Step 4: Simplify right side
    111,755,962,861.20x = 18,734,092,852,550,868,926,464
  5. Step 5: Solve for x
    x = 18,734,092,852,550,868,926,464/111,755,962,861.20
  6. Step 6: Final answer
    x = 167,633,944,291.80

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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.