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Finding the Fourth Proportional to 12,682,780,452,001, 19,024,170,678,002 and 12,682,780,452,001

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Solution

The fourth proportional to 12,682,780,452,001, 19,024,170,678,002 and 12,682,780,452,001 is: 19,024,170,678,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,001 : 19,024,170,678,002 = 12,682,780,452,001 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,001/19,024,170,678,002 = 12,682,780,452,001/x
  3. Step 3: Cross multiply
    12,682,780,452,001x = 19,024,170,678,002 × 12,682,780,452,001
  4. Step 4: Simplify right side
    12,682,780,452,001x = 241,279,379,990,494,384,121,446,400
  5. Step 5: Solve for x
    x = 241,279,379,990,494,384,121,446,400/12,682,780,452,001
  6. Step 6: Final answer
    x = 19,024,170,678,002

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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.