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Finding the Fourth Proportional to 472,393,053.80, 708,589,580.70 and 441,782,052.20

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Solution

The fourth proportional to 472,393,053.80, 708,589,580.70 and 441,782,052.20 is: 662,673,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,053.80 : 708,589,580.70 = 441,782,052.20 : x
  2. Step 2: Convert to fraction form
    472,393,053.80/708,589,580.70 = 441,782,052.20/x
  3. Step 3: Cross multiply
    472,393,053.80x = 708,589,580.70 × 441,782,052.20
  4. Step 4: Simplify right side
    472,393,053.80x = 313,042,159,129,183,552
  5. Step 5: Solve for x
    x = 313,042,159,129,183,552/472,393,053.80
  6. Step 6: Final answer
    x = 662,673,078.30

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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.