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Finding the Fourth Proportional to 322,189,811.60, 483,536,659.80 and 149,687,999.60

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Solution

The fourth proportional to 322,189,811.60, 483,536,659.80 and 149,687,999.60 is: 224,649,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,189,811.60 : 483,536,659.80 = 149,687,999.60 : x
  2. Step 2: Convert to fraction form
    322,189,811.60/483,536,659.80 = 149,687,999.60/x
  3. Step 3: Cross multiply
    322,189,811.60x = 483,536,659.80 × 149,687,999.60
  4. Step 4: Simplify right side
    322,189,811.60x = 72,379,635,338,727,728
  5. Step 5: Solve for x
    x = 72,379,635,338,727,728/322,189,811.60
  6. Step 6: Final answer
    x = 224,649,050.75

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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.