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Finding the Fourth Proportional to 322,978,087.40, 484,467,131.10 and 150,791,203.40

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Solution

The fourth proportional to 322,978,087.40, 484,467,131.10 and 150,791,203.40 is: 226,186,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,087.40 : 484,467,131.10 = 150,791,203.40 : x
  2. Step 2: Convert to fraction form
    322,978,087.40/484,467,131.10 = 150,791,203.40/x
  3. Step 3: Cross multiply
    322,978,087.40x = 484,467,131.10 × 150,791,203.40
  4. Step 4: Simplify right side
    322,978,087.40x = 73,053,381,706,314,576
  5. Step 5: Solve for x
    x = 73,053,381,706,314,576/322,978,087.40
  6. Step 6: Final answer
    x = 226,186,805.10

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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.