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Finding the Fourth Proportional to 201,974,064.40, 302,205,269.40 and 133,949,616.40

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Solution

The fourth proportional to 201,974,064.40, 302,205,269.40 and 133,949,616.40 is: 200,423,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974,064.40 : 302,205,269.40 = 133,949,616.40 : x
  2. Step 2: Convert to fraction form
    201,974,064.40/302,205,269.40 = 133,949,616.40/x
  3. Step 3: Cross multiply
    201,974,064.40x = 302,205,269.40 × 133,949,616.40
  4. Step 4: Simplify right side
    201,974,064.40x = 40,480,279,910,188,656
  5. Step 5: Solve for x
    x = 40,480,279,910,188,656/201,974,064.40
  6. Step 6: Final answer
    x = 200,423,158.44

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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.