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Finding the Fourth Proportional to 200,389,969.90, 300,584,954.85 and 200,389,969.90

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Solution

The fourth proportional to 200,389,969.90, 300,584,954.85 and 200,389,969.90 is: 300,584,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,389,969.90 : 300,584,954.85 = 200,389,969.90 : x
  2. Step 2: Convert to fraction form
    200,389,969.90/300,584,954.85 = 200,389,969.90/x
  3. Step 3: Cross multiply
    200,389,969.90x = 300,584,954.85 × 200,389,969.90
  4. Step 4: Simplify right side
    200,389,969.90x = 60,234,210,054,784,368
  5. Step 5: Solve for x
    x = 60,234,210,054,784,368/200,389,969.90
  6. Step 6: Final answer
    x = 300,584,954.85

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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.