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Finding the Fourth Proportional to 322,978,110.30, 483,889,797.45 and 196,552,014.30

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Solution

The fourth proportional to 322,978,110.30, 483,889,797.45 and 196,552,014.30 is: 294,476,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,110.30 : 483,889,797.45 = 196,552,014.30 : x
  2. Step 2: Convert to fraction form
    322,978,110.30/483,889,797.45 = 196,552,014.30/x
  3. Step 3: Cross multiply
    322,978,110.30x = 483,889,797.45 × 196,552,014.30
  4. Step 4: Simplify right side
    322,978,110.30x = 95,109,514,388,016,512
  5. Step 5: Solve for x
    x = 95,109,514,388,016,512/322,978,110.30
  6. Step 6: Final answer
    x = 294,476,657.57

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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.