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Finding the Fourth Proportional to 262,978,295.80, 394,467,443.70 and 255,420,023.80

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Solution

The fourth proportional to 262,978,295.80, 394,467,443.70 and 255,420,023.80 is: 383,130,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,978,295.80 : 394,467,443.70 = 255,420,023.80 : x
  2. Step 2: Convert to fraction form
    262,978,295.80/394,467,443.70 = 255,420,023.80/x
  3. Step 3: Cross multiply
    262,978,295.80x = 394,467,443.70 × 255,420,023.80
  4. Step 4: Simplify right side
    262,978,295.80x = 100,754,883,858,179,168
  5. Step 5: Solve for x
    x = 100,754,883,858,179,168/262,978,295.80
  6. Step 6: Final answer
    x = 383,130,035.70

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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.