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Finding the Fourth Proportional to 218,482,720.80, 327,724,081.20 and 116,446,048.80

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Solution

The fourth proportional to 218,482,720.80, 327,724,081.20 and 116,446,048.80 is: 174,669,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,482,720.80 : 327,724,081.20 = 116,446,048.80 : x
  2. Step 2: Convert to fraction form
    218,482,720.80/327,724,081.20 = 116,446,048.80/x
  3. Step 3: Cross multiply
    218,482,720.80x = 327,724,081.20 × 116,446,048.80
  4. Step 4: Simplify right side
    218,482,720.80x = 38,162,174,352,350,360
  5. Step 5: Solve for x
    x = 38,162,174,352,350,360/218,482,720.80
  6. Step 6: Final answer
    x = 174,669,073.20

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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.