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Finding the Fourth Proportional to 27,867,793.20, 41,801,689.80 and 27,867,793.20

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Solution

The fourth proportional to 27,867,793.20, 41,801,689.80 and 27,867,793.20 is: 41,801,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867,793.20 : 41,801,689.80 = 27,867,793.20 : x
  2. Step 2: Convert to fraction form
    27,867,793.20/41,801,689.80 = 27,867,793.20/x
  3. Step 3: Cross multiply
    27,867,793.20x = 41,801,689.80 × 27,867,793.20
  4. Step 4: Simplify right side
    27,867,793.20x = 1,164,920,846,756,949.25
  5. Step 5: Solve for x
    x = 1,164,920,846,756,949.25/27,867,793.20
  6. Step 6: Final answer
    x = 41,801,689.80

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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.