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Finding the Fourth Proportional to 171,659,129.60, 257,488,694.40 and 152,952,406.40

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Solution

The fourth proportional to 171,659,129.60, 257,488,694.40 and 152,952,406.40 is: 229,428,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,659,129.60 : 257,488,694.40 = 152,952,406.40 : x
  2. Step 2: Convert to fraction form
    171,659,129.60/257,488,694.40 = 152,952,406.40/x
  3. Step 3: Cross multiply
    171,659,129.60x = 257,488,694.40 × 152,952,406.40
  4. Step 4: Simplify right side
    171,659,129.60x = 39,383,515,429,274,208
  5. Step 5: Solve for x
    x = 39,383,515,429,274,208/171,659,129.60
  6. Step 6: Final answer
    x = 229,428,609.60

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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.