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Finding the Fourth Proportional to 485,517,007.80, 728,275,511.70 and 429,396,838.20

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Solution

The fourth proportional to 485,517,007.80, 728,275,511.70 and 429,396,838.20 is: 644,095,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,517,007.80 : 728,275,511.70 = 429,396,838.20 : x
  2. Step 2: Convert to fraction form
    485,517,007.80/728,275,511.70 = 429,396,838.20/x
  3. Step 3: Cross multiply
    485,517,007.80x = 728,275,511.70 × 429,396,838.20
  4. Step 4: Simplify right side
    485,517,007.80x = 312,719,202,062,467,136
  5. Step 5: Solve for x
    x = 312,719,202,062,467,136/485,517,007.80
  6. Step 6: Final answer
    x = 644,095,257.30

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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.