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Finding the Fourth Proportional to 298,978,257.92, 448,696,287.88 and 135,330,937.79

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Solution

The fourth proportional to 298,978,257.92, 448,696,287.88 and 135,330,937.79 is: 203,100,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978,257.92 : 448,696,287.88 = 135,330,937.79 : x
  2. Step 2: Convert to fraction form
    298,978,257.92/448,696,287.88 = 135,330,937.79/x
  3. Step 3: Cross multiply
    298,978,257.92x = 448,696,287.88 × 135,330,937.79
  4. Step 4: Simplify right side
    298,978,257.92x = 60,722,489,419,110,400
  5. Step 5: Solve for x
    x = 60,722,489,419,110,400/298,978,257.92
  6. Step 6: Final answer
    x = 203,100,017.51

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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.