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Finding the Fourth Proportional to 580,643,722.80, 870,965,584.20 and 197,691,274.80

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Solution

The fourth proportional to 580,643,722.80, 870,965,584.20 and 197,691,274.80 is: 296,536,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,643,722.80 : 870,965,584.20 = 197,691,274.80 : x
  2. Step 2: Convert to fraction form
    580,643,722.80/870,965,584.20 = 197,691,274.80/x
  3. Step 3: Cross multiply
    580,643,722.80x = 870,965,584.20 × 197,691,274.80
  4. Step 4: Simplify right side
    580,643,722.80x = 172,182,296,647,424,768
  5. Step 5: Solve for x
    x = 172,182,296,647,424,768/580,643,722.80
  6. Step 6: Final answer
    x = 296,536,912.20

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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.