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Finding the Fourth Proportional to 271,497,175.20, 407,245,762.80 and 98,979,616.80

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Solution

The fourth proportional to 271,497,175.20, 407,245,762.80 and 98,979,616.80 is: 148,469,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,497,175.20 : 407,245,762.80 = 98,979,616.80 : x
  2. Step 2: Convert to fraction form
    271,497,175.20/407,245,762.80 = 98,979,616.80/x
  3. Step 3: Cross multiply
    271,497,175.20x = 407,245,762.80 × 98,979,616.80
  4. Step 4: Simplify right side
    271,497,175.20x = 40,309,029,545,367,696
  5. Step 5: Solve for x
    x = 40,309,029,545,367,696/271,497,175.20
  6. Step 6: Final answer
    x = 148,469,425.20

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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.