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Finding the Fourth Proportional to 12,199,560,379,235, 18,299,340,568,857 and 12,199,560,379,235

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Solution

The fourth proportional to 12,199,560,379,235, 18,299,340,568,857 and 12,199,560,379,235 is: 18,299,340,568,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199,560,379,235 : 18,299,340,568,857 = 12,199,560,379,235 : x
  2. Step 2: Convert to fraction form
    12,199,560,379,235/18,299,340,568,857 = 12,199,560,379,235/x
  3. Step 3: Cross multiply
    12,199,560,379,235x = 18,299,340,568,857 × 12,199,560,379,235
  4. Step 4: Simplify right side
    12,199,560,379,235x = 223,243,910,169,955,538,462,310,400
  5. Step 5: Solve for x
    x = 223,243,910,169,955,538,462,310,400/12,199,560,379,235
  6. Step 6: Final answer
    x = 18,299,340,568,857

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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.