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Finding the Fourth Proportional to 472,534,802.80, 708,589,627.80 and 181,305,134.80

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Solution

The fourth proportional to 472,534,802.80, 708,589,627.80 and 181,305,134.80 is: 271,876,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,534,802.80 : 708,589,627.80 = 181,305,134.80 : x
  2. Step 2: Convert to fraction form
    472,534,802.80/708,589,627.80 = 181,305,134.80/x
  3. Step 3: Cross multiply
    472,534,802.80x = 708,589,627.80 × 181,305,134.80
  4. Step 4: Simplify right side
    472,534,802.80x = 128,470,937,986,160,832
  5. Step 5: Solve for x
    x = 128,470,937,986,160,832/472,534,802.80
  6. Step 6: Final answer
    x = 271,876,139.55

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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.