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Finding the Fourth Proportional to 262,942,709.80, 394,414,064.70 and 160,906,037.80

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Solution

The fourth proportional to 262,942,709.80, 394,414,064.70 and 160,906,037.80 is: 241,359,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,942,709.80 : 394,414,064.70 = 160,906,037.80 : x
  2. Step 2: Convert to fraction form
    262,942,709.80/394,414,064.70 = 160,906,037.80/x
  3. Step 3: Cross multiply
    262,942,709.80x = 394,414,064.70 × 160,906,037.80
  4. Step 4: Simplify right side
    262,942,709.80x = 63,463,604,403,469,848
  5. Step 5: Solve for x
    x = 63,463,604,403,469,848/262,942,709.80
  6. Step 6: Final answer
    x = 241,359,056.70

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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.