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Finding the Fourth Proportional to 275,715,466.80, 413,573,200.20 and 245,582,762.10

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Solution

The fourth proportional to 275,715,466.80, 413,573,200.20 and 245,582,762.10 is: 368,374,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715,466.80 : 413,573,200.20 = 245,582,762.10 : x
  2. Step 2: Convert to fraction form
    275,715,466.80/413,573,200.20 = 245,582,762.10/x
  3. Step 3: Cross multiply
    275,715,466.80x = 413,573,200.20 × 245,582,762.10
  4. Step 4: Simplify right side
    275,715,466.80x = 101,566,448,835,652,272
  5. Step 5: Solve for x
    x = 101,566,448,835,652,272/275,715,466.80
  6. Step 6: Final answer
    x = 368,374,143.15

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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.