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Finding the Fourth Proportional to 297,467,903.80, 446,201,855.70 and 200,722,022.20

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Solution

The fourth proportional to 297,467,903.80, 446,201,855.70 and 200,722,022.20 is: 301,083,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,467,903.80 : 446,201,855.70 = 200,722,022.20 : x
  2. Step 2: Convert to fraction form
    297,467,903.80/446,201,855.70 = 200,722,022.20/x
  3. Step 3: Cross multiply
    297,467,903.80x = 446,201,855.70 × 200,722,022.20
  4. Step 4: Simplify right side
    297,467,903.80x = 89,562,538,785,496,592
  5. Step 5: Solve for x
    x = 89,562,538,785,496,592/297,467,903.80
  6. Step 6: Final answer
    x = 301,083,033.30

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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.