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Finding the Fourth Proportional to 200,389,968.15, 300,584,952.23 and 200,389,968.15

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Solution

The fourth proportional to 200,389,968.15, 300,584,952.23 and 200,389,968.15 is: 300,584,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,389,968.15 : 300,584,952.23 = 200,389,968.15 : x
  2. Step 2: Convert to fraction form
    200,389,968.15/300,584,952.23 = 200,389,968.15/x
  3. Step 3: Cross multiply
    200,389,968.15x = 300,584,952.23 × 200,389,968.15
  4. Step 4: Simplify right side
    200,389,968.15x = 60,234,209,002,737,032
  5. Step 5: Solve for x
    x = 60,234,209,002,737,032/200,389,968.15
  6. Step 6: Final answer
    x = 300,584,952.23

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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.