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Finding the Fourth Proportional to 18,373,521,843.30, 27,560,282,764.96 and 18,373,521,843.30

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Solution

The fourth proportional to 18,373,521,843.30, 27,560,282,764.96 and 18,373,521,843.30 is: 27,560,282,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,373,521,843.30 : 27,560,282,764.96 = 18,373,521,843.30 : x
  2. Step 2: Convert to fraction form
    18,373,521,843.30/27,560,282,764.96 = 18,373,521,843.30/x
  3. Step 3: Cross multiply
    18,373,521,843.30x = 27,560,282,764.96 × 18,373,521,843.30
  4. Step 4: Simplify right side
    18,373,521,843.30x = 506,379,457,389,517,012,992
  5. Step 5: Solve for x
    x = 506,379,457,389,517,012,992/18,373,521,843.30
  6. Step 6: Final answer
    x = 27,560,282,764.96

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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.