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Finding the Fourth Proportional to 213,536,952.80, 320,305,429.20 and 213,536,952.80

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Solution

The fourth proportional to 213,536,952.80, 320,305,429.20 and 213,536,952.80 is: 320,305,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,536,952.80 : 320,305,429.20 = 213,536,952.80 : x
  2. Step 2: Convert to fraction form
    213,536,952.80/320,305,429.20 = 213,536,952.80/x
  3. Step 3: Cross multiply
    213,536,952.80x = 320,305,429.20 × 213,536,952.80
  4. Step 4: Simplify right side
    213,536,952.80x = 68,397,045,316,664,144
  5. Step 5: Solve for x
    x = 68,397,045,316,664,144/213,536,952.80
  6. Step 6: Final answer
    x = 320,305,429.20

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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.