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Finding the Fourth Proportional to 100,642,238.39, 150,946,538.58 and 27,866,375.61

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Solution

The fourth proportional to 100,642,238.39, 150,946,538.58 and 27,866,375.61 is: 41,794,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,238.39 : 150,946,538.58 = 27,866,375.61 : x
  2. Step 2: Convert to fraction form
    100,642,238.39/150,946,538.58 = 27,866,375.61/x
  3. Step 3: Cross multiply
    100,642,238.39x = 150,946,538.58 × 27,866,375.61
  4. Step 4: Simplify right side
    100,642,238.39x = 4,206,332,941,099,636.50
  5. Step 5: Solve for x
    x = 4,206,332,941,099,636.50/100,642,238.39
  6. Step 6: Final answer
    x = 41,794,906.48

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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.