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Finding the Fourth Proportional to 231,706,872.80, 347,261,710.80 and 177,585,912.80

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Solution

The fourth proportional to 231,706,872.80, 347,261,710.80 and 177,585,912.80 is: 266,150,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,706,872.80 : 347,261,710.80 = 177,585,912.80 : x
  2. Step 2: Convert to fraction form
    231,706,872.80/347,261,710.80 = 177,585,912.80/x
  3. Step 3: Cross multiply
    231,706,872.80x = 347,261,710.80 × 177,585,912.80
  4. Step 4: Simplify right side
    231,706,872.80x = 61,668,787,892,907,624
  5. Step 5: Solve for x
    x = 61,668,787,892,907,624/231,706,872.80
  6. Step 6: Final answer
    x = 266,150,015.96

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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.