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Finding the Fourth Proportional to 201,198,422.60, 301,489,601.67 and 135,375,754.34

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Solution

The fourth proportional to 201,198,422.60, 301,489,601.67 and 135,375,754.34 is: 202,856,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198,422.60 : 301,489,601.67 = 135,375,754.34 : x
  2. Step 2: Convert to fraction form
    201,198,422.60/301,489,601.67 = 135,375,754.34/x
  3. Step 3: Cross multiply
    201,198,422.60x = 301,489,601.67 × 135,375,754.34
  4. Step 4: Simplify right side
    201,198,422.60x = 40,814,382,251,742,376
  5. Step 5: Solve for x
    x = 40,814,382,251,742,376/201,198,422.60
  6. Step 6: Final answer
    x = 202,856,372.95

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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.