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Finding the Fourth Proportional to 12,682,780,452,024, 19,024,170,678,040 and 12,682,780,452,024

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Solution

The fourth proportional to 12,682,780,452,024, 19,024,170,678,040 and 12,682,780,452,024 is: 19,024,170,678,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,024 : 19,024,170,678,040 = 12,682,780,452,024 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,024/19,024,170,678,040 = 12,682,780,452,024/x
  3. Step 3: Cross multiply
    12,682,780,452,024x = 19,024,170,678,040 × 12,682,780,452,024
  4. Step 4: Simplify right side
    12,682,780,452,024x = 241,279,379,991,413,885,079,912,448
  5. Step 5: Solve for x
    x = 241,279,379,991,413,885,079,912,448/12,682,780,452,024
  6. Step 6: Final answer
    x = 19,024,170,678,040

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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.