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Finding the Fourth Proportional to 26,319,255.80, 39,408,024.90 and 26,319,255.80

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Solution

The fourth proportional to 26,319,255.80, 39,408,024.90 and 26,319,255.80 is: 39,408,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319,255.80 : 39,408,024.90 = 26,319,255.80 : x
  2. Step 2: Convert to fraction form
    26,319,255.80/39,408,024.90 = 26,319,255.80/x
  3. Step 3: Cross multiply
    26,319,255.80x = 39,408,024.90 × 26,319,255.80
  4. Step 4: Simplify right side
    26,319,255.80x = 1,037,189,887,915,869.38
  5. Step 5: Solve for x
    x = 1,037,189,887,915,869.38/26,319,255.80
  6. Step 6: Final answer
    x = 39,408,024.90

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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.