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Finding the Fourth Proportional to 206,986,251.20, 310,479,376.80 and 176,209,912.40

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Solution

The fourth proportional to 206,986,251.20, 310,479,376.80 and 176,209,912.40 is: 264,314,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,986,251.20 : 310,479,376.80 = 176,209,912.40 : x
  2. Step 2: Convert to fraction form
    206,986,251.20/310,479,376.80 = 176,209,912.40/x
  3. Step 3: Cross multiply
    206,986,251.20x = 310,479,376.80 × 176,209,912.40
  4. Step 4: Simplify right side
    206,986,251.20x = 54,709,543,787,934,600
  5. Step 5: Solve for x
    x = 54,709,543,787,934,600/206,986,251.20
  6. Step 6: Final answer
    x = 264,314,868.60

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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.