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Finding the Fourth Proportional to 269,400,491.40, 404,100,737.10 and 204,830,409.90

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Solution

The fourth proportional to 269,400,491.40, 404,100,737.10 and 204,830,409.90 is: 307,245,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,400,491.40 : 404,100,737.10 = 204,830,409.90 : x
  2. Step 2: Convert to fraction form
    269,400,491.40/404,100,737.10 = 204,830,409.90/x
  3. Step 3: Cross multiply
    269,400,491.40x = 404,100,737.10 × 204,830,409.90
  4. Step 4: Simplify right side
    269,400,491.40x = 82,772,119,621,085,152
  5. Step 5: Solve for x
    x = 82,772,119,621,085,152/269,400,491.40
  6. Step 6: Final answer
    x = 307,245,614.85

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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.