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Finding the Fourth Proportional to 147,532,512.80, 206,847,848.80 and 147,532,512.80

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Solution

The fourth proportional to 147,532,512.80, 206,847,848.80 and 147,532,512.80 is: 206,847,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,532,512.80 : 206,847,848.80 = 147,532,512.80 : x
  2. Step 2: Convert to fraction form
    147,532,512.80/206,847,848.80 = 147,532,512.80/x
  3. Step 3: Cross multiply
    147,532,512.80x = 206,847,848.80 × 147,532,512.80
  4. Step 4: Simplify right side
    147,532,512.80x = 30,516,782,900,738,468
  5. Step 5: Solve for x
    x = 30,516,782,900,738,468/147,532,512.80
  6. Step 6: Final answer
    x = 206,847,848.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.