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Finding the Fourth Proportional to 201,690,997.80, 302,536,496.70 and 146,846,286.60

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Solution

The fourth proportional to 201,690,997.80, 302,536,496.70 and 146,846,286.60 is: 220,269,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690,997.80 : 302,536,496.70 = 146,846,286.60 : x
  2. Step 2: Convert to fraction form
    201,690,997.80/302,536,496.70 = 146,846,286.60/x
  3. Step 3: Cross multiply
    201,690,997.80x = 302,536,496.70 × 146,846,286.60
  4. Step 4: Simplify right side
    201,690,997.80x = 44,426,361,101,368,152
  5. Step 5: Solve for x
    x = 44,426,361,101,368,152/201,690,997.80
  6. Step 6: Final answer
    x = 220,269,429.90

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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.