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Finding the Fourth Proportional to 408,080,853.80, 612,121,280.70 and 408,080,853.80

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Solution

The fourth proportional to 408,080,853.80, 612,121,280.70 and 408,080,853.80 is: 612,121,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,080,853.80 : 612,121,280.70 = 408,080,853.80 : x
  2. Step 2: Convert to fraction form
    408,080,853.80/612,121,280.70 = 408,080,853.80/x
  3. Step 3: Cross multiply
    408,080,853.80x = 612,121,280.70 × 408,080,853.80
  4. Step 4: Simplify right side
    408,080,853.80x = 249,794,974,857,205,504
  5. Step 5: Solve for x
    x = 249,794,974,857,205,504/408,080,853.80
  6. Step 6: Final answer
    x = 612,121,280.70

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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.