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Finding the Fourth Proportional to 232,983,009.60, 349,978,399.20 and 164,958,561.60

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Solution

The fourth proportional to 232,983,009.60, 349,978,399.20 and 164,958,561.60 is: 247,794,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,983,009.60 : 349,978,399.20 = 164,958,561.60 : x
  2. Step 2: Convert to fraction form
    232,983,009.60/349,978,399.20 = 164,958,561.60/x
  3. Step 3: Cross multiply
    232,983,009.60x = 349,978,399.20 × 164,958,561.60
  4. Step 4: Simplify right side
    232,983,009.60x = 57,731,933,323,102,584
  5. Step 5: Solve for x
    x = 57,731,933,323,102,584/232,983,009.60
  6. Step 6: Final answer
    x = 247,794,607.09

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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.