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Finding the Fourth Proportional to 25,420,221,067.20, 38,057,772,189.60 and 25,420,221,067.20

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Solution

The fourth proportional to 25,420,221,067.20, 38,057,772,189.60 and 25,420,221,067.20 is: 38,057,772,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,420,221,067.20 : 38,057,772,189.60 = 25,420,221,067.20 : x
  2. Step 2: Convert to fraction form
    25,420,221,067.20/38,057,772,189.60 = 25,420,221,067.20/x
  3. Step 3: Cross multiply
    25,420,221,067.20x = 38,057,772,189.60 × 25,420,221,067.20
  4. Step 4: Simplify right side
    25,420,221,067.20x = 967,436,982,384,768,188,416
  5. Step 5: Solve for x
    x = 967,436,982,384,768,188,416/25,420,221,067.20
  6. Step 6: Final answer
    x = 38,057,772,189.60

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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.