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Finding the Fourth Proportional to 136,100,523.60, 204,150,785.40 and 136,100,523.60

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Solution

The fourth proportional to 136,100,523.60, 204,150,785.40 and 136,100,523.60 is: 204,150,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,100,523.60 : 204,150,785.40 = 136,100,523.60 : x
  2. Step 2: Convert to fraction form
    136,100,523.60/204,150,785.40 = 136,100,523.60/x
  3. Step 3: Cross multiply
    136,100,523.60x = 204,150,785.40 × 136,100,523.60
  4. Step 4: Simplify right side
    136,100,523.60x = 27,785,028,786,291,236
  5. Step 5: Solve for x
    x = 27,785,028,786,291,236/136,100,523.60
  6. Step 6: Final answer
    x = 204,150,785.40

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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.