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Finding the Fourth Proportional to 274,498,907.20, 411,748,360.80 and 92,743,460.80

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Solution

The fourth proportional to 274,498,907.20, 411,748,360.80 and 92,743,460.80 is: 139,115,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,498,907.20 : 411,748,360.80 = 92,743,460.80 : x
  2. Step 2: Convert to fraction form
    274,498,907.20/411,748,360.80 = 92,743,460.80/x
  3. Step 3: Cross multiply
    274,498,907.20x = 411,748,360.80 × 92,743,460.80
  4. Step 4: Simplify right side
    274,498,907.20x = 38,186,967,959,319,056
  5. Step 5: Solve for x
    x = 38,186,967,959,319,056/274,498,907.20
  6. Step 6: Final answer
    x = 139,115,191.20

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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.