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Finding the Fourth Proportional to 414,049,416.80, 620,546,620.80 and 220,053,768.80

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Solution

The fourth proportional to 414,049,416.80, 620,546,620.80 and 220,053,768.80 is: 329,800,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,049,416.80 : 620,546,620.80 = 220,053,768.80 : x
  2. Step 2: Convert to fraction form
    414,049,416.80/620,546,620.80 = 220,053,768.80/x
  3. Step 3: Cross multiply
    414,049,416.80x = 620,546,620.80 × 220,053,768.80
  4. Step 4: Simplify right side
    414,049,416.80x = 136,553,622,623,144,464
  5. Step 5: Solve for x
    x = 136,553,622,623,144,464/414,049,416.80
  6. Step 6: Final answer
    x = 329,800,301.81

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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.