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Finding the Fourth Proportional to 326,967,228,046.35, 490,450,842,069.52 and 326,967,228,046.35

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Solution

The fourth proportional to 326,967,228,046.35, 490,450,842,069.52 and 326,967,228,046.35 is: 490,450,842,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,967,228,046.35 : 490,450,842,069.52 = 326,967,228,046.35 : x
  2. Step 2: Convert to fraction form
    326,967,228,046.35/490,450,842,069.52 = 326,967,228,046.35/x
  3. Step 3: Cross multiply
    326,967,228,046.35x = 490,450,842,069.52 × 326,967,228,046.35
  4. Step 4: Simplify right side
    326,967,228,046.35x = 160,361,352,324,469,126,856,704
  5. Step 5: Solve for x
    x = 160,361,352,324,469,126,856,704/326,967,228,046.35
  6. Step 6: Final answer
    x = 490,450,842,069.52

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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.