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Finding the Fourth Proportional to 200,603,905.20, 300,905,857.80 and 200,603,905.20

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Solution

The fourth proportional to 200,603,905.20, 300,905,857.80 and 200,603,905.20 is: 300,905,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,603,905.20 : 300,905,857.80 = 200,603,905.20 : x
  2. Step 2: Convert to fraction form
    200,603,905.20/300,905,857.80 = 200,603,905.20/x
  3. Step 3: Cross multiply
    200,603,905.20x = 300,905,857.80 × 200,603,905.20
  4. Step 4: Simplify right side
    200,603,905.20x = 60,362,890,172,235,880
  5. Step 5: Solve for x
    x = 60,362,890,172,235,880/200,603,905.20
  6. Step 6: Final answer
    x = 300,905,857.80

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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.