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Finding the Fourth Proportional to 342,144,201.60, 512,768,404.80 and 137,504,764.80

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Solution

The fourth proportional to 342,144,201.60, 512,768,404.80 and 137,504,764.80 is: 206,077,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,144,201.60 : 512,768,404.80 = 137,504,764.80 : x
  2. Step 2: Convert to fraction form
    342,144,201.60/512,768,404.80 = 137,504,764.80/x
  3. Step 3: Cross multiply
    342,144,201.60x = 512,768,404.80 × 137,504,764.80
  4. Step 4: Simplify right side
    342,144,201.60x = 70,508,098,898,895,200
  5. Step 5: Solve for x
    x = 70,508,098,898,895,200/342,144,201.60
  6. Step 6: Final answer
    x = 206,077,141.07

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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.