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Finding the Fourth Proportional to 12,199,560,379,251, 18,299,340,568,884 and 12,199,560,379,251

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Solution

The fourth proportional to 12,199,560,379,251, 18,299,340,568,884 and 12,199,560,379,251 is: 18,299,340,568,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199,560,379,251 : 18,299,340,568,884 = 12,199,560,379,251 : x
  2. Step 2: Convert to fraction form
    12,199,560,379,251/18,299,340,568,884 = 12,199,560,379,251/x
  3. Step 3: Cross multiply
    12,199,560,379,251x = 18,299,340,568,884 × 12,199,560,379,251
  4. Step 4: Simplify right side
    12,199,560,379,251x = 223,243,910,170,577,690,244,939,776
  5. Step 5: Solve for x
    x = 223,243,910,170,577,690,244,939,776/12,199,560,379,251
  6. Step 6: Final answer
    x = 18,299,340,568,884

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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.