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Finding the Fourth Proportional to 272,555,121.60, 408,832,682.40 and 272,555,121.60

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Solution

The fourth proportional to 272,555,121.60, 408,832,682.40 and 272,555,121.60 is: 408,832,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,555,121.60 : 408,832,682.40 = 272,555,121.60 : x
  2. Step 2: Convert to fraction form
    272,555,121.60/408,832,682.40 = 272,555,121.60/x
  3. Step 3: Cross multiply
    272,555,121.60x = 408,832,682.40 × 272,555,121.60
  4. Step 4: Simplify right side
    272,555,121.60x = 111,429,441,465,586,176
  5. Step 5: Solve for x
    x = 111,429,441,465,586,176/272,555,121.60
  6. Step 6: Final answer
    x = 408,832,682.40

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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.