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Finding the Fourth Proportional to 13,786,288,313,975, 20,679,432,470,984 and 13,786,288,313,975

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Solution

The fourth proportional to 13,786,288,313,975, 20,679,432,470,984 and 13,786,288,313,975 is: 20,679,432,470,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786,288,313,975 : 20,679,432,470,984 = 13,786,288,313,975 : x
  2. Step 2: Convert to fraction form
    13,786,288,313,975/20,679,432,470,984 = 13,786,288,313,975/x
  3. Step 3: Cross multiply
    13,786,288,313,975x = 20,679,432,470,984 × 13,786,288,313,975
  4. Step 4: Simplify right side
    13,786,288,313,975x = 285,092,618,214,361,876,431,634,432
  5. Step 5: Solve for x
    x = 285,092,618,214,361,876,431,634,432/13,786,288,313,975
  6. Step 6: Final answer
    x = 20,679,432,470,984

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.