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Finding the Fourth Proportional to 269,185,311.90, 403,777,967.85 and 269,185,311.90

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Solution

The fourth proportional to 269,185,311.90, 403,777,967.85 and 269,185,311.90 is: 403,777,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,185,311.90 : 403,777,967.85 = 269,185,311.90 : x
  2. Step 2: Convert to fraction form
    269,185,311.90/403,777,967.85 = 269,185,311.90/x
  3. Step 3: Cross multiply
    269,185,311.90x = 403,777,967.85 × 269,185,311.90
  4. Step 4: Simplify right side
    269,185,311.90x = 108,691,098,214,050,416
  5. Step 5: Solve for x
    x = 108,691,098,214,050,416/269,185,311.90
  6. Step 6: Final answer
    x = 403,777,967.85

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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.