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Finding the Fourth Proportional to 302,846,593.80, 454,269,890.70 and 206,100,712.20

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Solution

The fourth proportional to 302,846,593.80, 454,269,890.70 and 206,100,712.20 is: 309,151,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,846,593.80 : 454,269,890.70 = 206,100,712.20 : x
  2. Step 2: Convert to fraction form
    302,846,593.80/454,269,890.70 = 206,100,712.20/x
  3. Step 3: Cross multiply
    302,846,593.80x = 454,269,890.70 × 206,100,712.20
  4. Step 4: Simplify right side
    302,846,593.80x = 93,625,348,004,286,144
  5. Step 5: Solve for x
    x = 93,625,348,004,286,144/302,846,593.80
  6. Step 6: Final answer
    x = 309,151,068.30

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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.