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Finding the Fourth Proportional to 297,872,209.60, 446,808,314.40 and 206,039,204.80

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Solution

The fourth proportional to 297,872,209.60, 446,808,314.40 and 206,039,204.80 is: 309,058,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,872,209.60 : 446,808,314.40 = 206,039,204.80 : x
  2. Step 2: Convert to fraction form
    297,872,209.60/446,808,314.40 = 206,039,204.80/x
  3. Step 3: Cross multiply
    297,872,209.60x = 446,808,314.40 × 206,039,204.80
  4. Step 4: Simplify right side
    297,872,209.60x = 92,060,029,797,004,384
  5. Step 5: Solve for x
    x = 92,060,029,797,004,384/297,872,209.60
  6. Step 6: Final answer
    x = 309,058,807.20

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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.