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Finding the Fourth Proportional to 284,675,297.60, 426,162,640.80 and 169,600,606.40

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Solution

The fourth proportional to 284,675,297.60, 426,162,640.80 and 169,600,606.40 is: 253,894,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,675,297.60 : 426,162,640.80 = 169,600,606.40 : x
  2. Step 2: Convert to fraction form
    284,675,297.60/426,162,640.80 = 169,600,606.40/x
  3. Step 3: Cross multiply
    284,675,297.60x = 426,162,640.80 × 169,600,606.40
  4. Step 4: Simplify right side
    284,675,297.60x = 72,277,442,304,705,392
  5. Step 5: Solve for x
    x = 72,277,442,304,705,392/284,675,297.60
  6. Step 6: Final answer
    x = 253,894,324.21

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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.