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Finding the Fourth Proportional to 280,409,797.87, 420,238,720.74 and 218,236,187.74

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Solution

The fourth proportional to 280,409,797.87, 420,238,720.74 and 218,236,187.74 is: 327,061,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409,797.87 : 420,238,720.74 = 218,236,187.74 : x
  2. Step 2: Convert to fraction form
    280,409,797.87/420,238,720.74 = 218,236,187.74/x
  3. Step 3: Cross multiply
    280,409,797.87x = 420,238,720.74 × 218,236,187.74
  4. Step 4: Simplify right side
    280,409,797.87x = 91,711,296,352,930,880
  5. Step 5: Solve for x
    x = 91,711,296,352,930,880/280,409,797.87
  6. Step 6: Final answer
    x = 327,061,668.50

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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.