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Finding the Fourth Proportional to 232,983,146.60, 349,978,604.70 and 164,958,698.60

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Solution

The fourth proportional to 232,983,146.60, 349,978,604.70 and 164,958,698.60 is: 247,794,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,983,146.60 : 349,978,604.70 = 164,958,698.60 : x
  2. Step 2: Convert to fraction form
    232,983,146.60/349,978,604.70 = 164,958,698.60/x
  3. Step 3: Cross multiply
    232,983,146.60x = 349,978,604.70 × 164,958,698.60
  4. Step 4: Simplify right side
    232,983,146.60x = 57,732,015,169,155,840
  5. Step 5: Solve for x
    x = 57,732,015,169,155,840/232,983,146.60
  6. Step 6: Final answer
    x = 247,794,812.68

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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.