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Finding the Fourth Proportional to 12,682,780,452,015, 19,024,170,678,023 and 12,682,780,452,015

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Solution

The fourth proportional to 12,682,780,452,015, 19,024,170,678,023 and 12,682,780,452,015 is: 19,024,170,678,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,015 : 19,024,170,678,023 = 12,682,780,452,015 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,015/19,024,170,678,023 = 12,682,780,452,015/x
  3. Step 3: Cross multiply
    12,682,780,452,015x = 19,024,170,678,023 × 12,682,780,452,015
  4. Step 4: Simplify right side
    12,682,780,452,015x = 241,279,379,991,027,063,145,365,504
  5. Step 5: Solve for x
    x = 241,279,379,991,027,063,145,365,504/12,682,780,452,015
  6. Step 6: Final answer
    x = 19,024,170,678,023

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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.