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Finding the Fourth Proportional to 582,714,010.80, 873,752,151.60 and 237,277,360.80

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Solution

The fourth proportional to 582,714,010.80, 873,752,151.60 and 237,277,360.80 is: 355,786,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,714,010.80 : 873,752,151.60 = 237,277,360.80 : x
  2. Step 2: Convert to fraction form
    582,714,010.80/873,752,151.60 = 237,277,360.80/x
  3. Step 3: Cross multiply
    582,714,010.80x = 873,752,151.60 × 237,277,360.80
  4. Step 4: Simplify right side
    582,714,010.80x = 207,321,604,524,969,504
  5. Step 5: Solve for x
    x = 207,321,604,524,969,504/582,714,010.80
  6. Step 6: Final answer
    x = 355,786,201.61

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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.