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Finding the Fourth Proportional to 206,180,200.30, 309,270,300.45 and 206,180,200.30

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Solution

The fourth proportional to 206,180,200.30, 309,270,300.45 and 206,180,200.30 is: 309,270,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,180,200.30 : 309,270,300.45 = 206,180,200.30 : x
  2. Step 2: Convert to fraction form
    206,180,200.30/309,270,300.45 = 206,180,200.30/x
  3. Step 3: Cross multiply
    206,180,200.30x = 309,270,300.45 × 206,180,200.30
  4. Step 4: Simplify right side
    206,180,200.30x = 63,765,412,493,622,184
  5. Step 5: Solve for x
    x = 63,765,412,493,622,184/206,180,200.30
  6. Step 6: Final answer
    x = 309,270,300.45

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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.