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Finding the Fourth Proportional to 12,199,560,379,241, 18,299,340,568,878 and 12,199,560,379,241

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Solution

The fourth proportional to 12,199,560,379,241, 18,299,340,568,878 and 12,199,560,379,241 is: 18,299,340,568,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199,560,379,241 : 18,299,340,568,878 = 12,199,560,379,241 : x
  2. Step 2: Convert to fraction form
    12,199,560,379,241/18,299,340,568,878 = 12,199,560,379,241/x
  3. Step 3: Cross multiply
    12,199,560,379,241x = 18,299,340,568,878 × 12,199,560,379,241
  4. Step 4: Simplify right side
    12,199,560,379,241x = 223,243,910,170,321,504,035,667,968
  5. Step 5: Solve for x
    x = 223,243,910,170,321,504,035,667,968/12,199,560,379,241
  6. Step 6: Final answer
    x = 18,299,340,568,878

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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.