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Finding the Fourth Proportional to 200,808,843.40, 301,213,265.26 and 200,808,843.40

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Solution

The fourth proportional to 200,808,843.40, 301,213,265.26 and 200,808,843.40 is: 301,213,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808,843.40 : 301,213,265.26 = 200,808,843.40 : x
  2. Step 2: Convert to fraction form
    200,808,843.40/301,213,265.26 = 200,808,843.40/x
  3. Step 3: Cross multiply
    200,808,843.40x = 301,213,265.26 × 200,808,843.40
  4. Step 4: Simplify right side
    200,808,843.40x = 60,486,287,413,598,000
  5. Step 5: Solve for x
    x = 60,486,287,413,598,000/200,808,843.40
  6. Step 6: Final answer
    x = 301,213,265.26

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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.