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Finding the Fourth Proportional to 456,194,791.80, 684,292,187.70 and 274,348,366.20

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Solution

The fourth proportional to 456,194,791.80, 684,292,187.70 and 274,348,366.20 is: 411,522,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,194,791.80 : 684,292,187.70 = 274,348,366.20 : x
  2. Step 2: Convert to fraction form
    456,194,791.80/684,292,187.70 = 274,348,366.20/x
  3. Step 3: Cross multiply
    456,194,791.80x = 684,292,187.70 × 274,348,366.20
  4. Step 4: Simplify right side
    456,194,791.80x = 187,734,443,698,918,752
  5. Step 5: Solve for x
    x = 187,734,443,698,918,752/456,194,791.80
  6. Step 6: Final answer
    x = 411,522,549.30

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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.