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Finding the Fourth Proportional to 232,028,698.80, 347,744,449.80 and 177,907,738.80

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Solution

The fourth proportional to 232,028,698.80, 347,744,449.80 and 177,907,738.80 is: 266,632,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,028,698.80 : 347,744,449.80 = 177,907,738.80 : x
  2. Step 2: Convert to fraction form
    232,028,698.80/347,744,449.80 = 177,907,738.80/x
  3. Step 3: Cross multiply
    232,028,698.80x = 347,744,449.80 × 177,907,738.80
  4. Step 4: Simplify right side
    232,028,698.80x = 61,866,428,744,168,120
  5. Step 5: Solve for x
    x = 61,866,428,744,168,120/232,028,698.80
  6. Step 6: Final answer
    x = 266,632,658.22

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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.