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Finding the Fourth Proportional to 322,978,314.80, 483,890,104.20 and 196,552,218.80

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Solution

The fourth proportional to 322,978,314.80, 483,890,104.20 and 196,552,218.80 is: 294,476,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,314.80 : 483,890,104.20 = 196,552,218.80 : x
  2. Step 2: Convert to fraction form
    322,978,314.80/483,890,104.20 = 196,552,218.80/x
  3. Step 3: Cross multiply
    322,978,314.80x = 483,890,104.20 × 196,552,218.80
  4. Step 4: Simplify right side
    322,978,314.80x = 95,109,673,635,873,200
  5. Step 5: Solve for x
    x = 95,109,673,635,873,200/322,978,314.80
  6. Step 6: Final answer
    x = 294,476,964.17

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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.