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Finding the Fourth Proportional to 214,668,327.60, 322,002,491.40 and 200,213,132.40

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Solution

The fourth proportional to 214,668,327.60, 322,002,491.40 and 200,213,132.40 is: 300,319,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668,327.60 : 322,002,491.40 = 200,213,132.40 : x
  2. Step 2: Convert to fraction form
    214,668,327.60/322,002,491.40 = 200,213,132.40/x
  3. Step 3: Cross multiply
    214,668,327.60x = 322,002,491.40 × 200,213,132.40
  4. Step 4: Simplify right side
    214,668,327.60x = 64,469,127,443,798,056
  5. Step 5: Solve for x
    x = 64,469,127,443,798,056/214,668,327.60
  6. Step 6: Final answer
    x = 300,319,698.60

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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.