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Finding the Fourth Proportional to 322,978,114.40, 484,467,171.60 and 150,791,230.40

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Solution

The fourth proportional to 322,978,114.40, 484,467,171.60 and 150,791,230.40 is: 226,186,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,114.40 : 484,467,171.60 = 150,791,230.40 : x
  2. Step 2: Convert to fraction form
    322,978,114.40/484,467,171.60 = 150,791,230.40/x
  3. Step 3: Cross multiply
    322,978,114.40x = 484,467,171.60 × 150,791,230.40
  4. Step 4: Simplify right side
    322,978,114.40x = 73,053,400,893,971,936
  5. Step 5: Solve for x
    x = 73,053,400,893,971,936/322,978,114.40
  6. Step 6: Final answer
    x = 226,186,845.60

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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.