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Finding the Fourth Proportional to 12,682,780,452,007, 19,024,170,678,014 and 12,682,780,452,007

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Solution

The fourth proportional to 12,682,780,452,007, 19,024,170,678,014 and 12,682,780,452,007 is: 19,024,170,678,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,007 : 19,024,170,678,014 = 12,682,780,452,007 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,007/19,024,170,678,014 = 12,682,780,452,007/x
  3. Step 3: Cross multiply
    12,682,780,452,007x = 19,024,170,678,014 × 12,682,780,452,007
  4. Step 4: Simplify right side
    12,682,780,452,007x = 241,279,379,990,760,706,453,536,768
  5. Step 5: Solve for x
    x = 241,279,379,990,760,706,453,536,768/12,682,780,452,007
  6. Step 6: Final answer
    x = 19,024,170,678,014

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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.