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Finding the Fourth Proportional to 408,784,876.20, 612,169,544.70 and 271,728,210.60

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Solution

The fourth proportional to 408,784,876.20, 612,169,544.70 and 271,728,210.60 is: 406,922,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,784,876.20 : 612,169,544.70 = 271,728,210.60 : x
  2. Step 2: Convert to fraction form
    408,784,876.20/612,169,544.70 = 271,728,210.60/x
  3. Step 3: Cross multiply
    408,784,876.20x = 612,169,544.70 × 271,728,210.60
  4. Step 4: Simplify right side
    408,784,876.20x = 166,343,734,965,147,744
  5. Step 5: Solve for x
    x = 166,343,734,965,147,744/408,784,876.20
  6. Step 6: Final answer
    x = 406,922,429.50

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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.