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Finding the Fourth Proportional to 218,308,002.40, 327,462,003.60 and 200,451,584.80

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Solution

The fourth proportional to 218,308,002.40, 327,462,003.60 and 200,451,584.80 is: 300,677,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,308,002.40 : 327,462,003.60 = 200,451,584.80 : x
  2. Step 2: Convert to fraction form
    218,308,002.40/327,462,003.60 = 200,451,584.80/x
  3. Step 3: Cross multiply
    218,308,002.40x = 327,462,003.60 × 200,451,584.80
  4. Step 4: Simplify right side
    218,308,002.40x = 65,640,277,583,403,312
  5. Step 5: Solve for x
    x = 65,640,277,583,403,312/218,308,002.40
  6. Step 6: Final answer
    x = 300,677,377.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.