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Finding the Fourth Proportional to 322,978,095.80, 483,889,775.70 and 196,551,999.80

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Solution

The fourth proportional to 322,978,095.80, 483,889,775.70 and 196,551,999.80 is: 294,476,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,095.80 : 483,889,775.70 = 196,551,999.80 : x
  2. Step 2: Convert to fraction form
    322,978,095.80/483,889,775.70 = 196,551,999.80/x
  3. Step 3: Cross multiply
    322,978,095.80x = 483,889,775.70 × 196,551,999.80
  4. Step 4: Simplify right side
    322,978,095.80x = 95,109,503,096,608,448
  5. Step 5: Solve for x
    x = 95,109,503,096,608,448/322,978,095.80
  6. Step 6: Final answer
    x = 294,476,635.83

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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.