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Finding the Fourth Proportional to 24,379,456,481.70, 36,569,184,722.55 and 24,379,456,481.70

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Solution

The fourth proportional to 24,379,456,481.70, 36,569,184,722.55 and 24,379,456,481.70 is: 36,569,184,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379,456,481.70 : 36,569,184,722.55 = 24,379,456,481.70 : x
  2. Step 2: Convert to fraction form
    24,379,456,481.70/36,569,184,722.55 = 24,379,456,481.70/x
  3. Step 3: Cross multiply
    24,379,456,481.70x = 36,569,184,722.55 × 24,379,456,481.70
  4. Step 4: Simplify right side
    24,379,456,481.70x = 891,536,847,514,656,309,248
  5. Step 5: Solve for x
    x = 891,536,847,514,656,309,248/24,379,456,481.70
  6. Step 6: Final answer
    x = 36,569,184,722.55

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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.