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Finding the Fourth Proportional to 232,982,987.60, 349,978,366.20 and 164,958,539.60

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Solution

The fourth proportional to 232,982,987.60, 349,978,366.20 and 164,958,539.60 is: 247,794,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982,987.60 : 349,978,366.20 = 164,958,539.60 : x
  2. Step 2: Convert to fraction form
    232,982,987.60/349,978,366.20 = 164,958,539.60/x
  3. Step 3: Cross multiply
    232,982,987.60x = 349,978,366.20 × 164,958,539.60
  4. Step 4: Simplify right side
    232,982,987.60x = 57,731,920,179,946,000
  5. Step 5: Solve for x
    x = 57,731,920,179,946,000/232,982,987.60
  6. Step 6: Final answer
    x = 247,794,574.08

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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.