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Finding the Fourth Proportional to 284,744,304.40, 427,116,456.60 and 284,744,304.40

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Solution

The fourth proportional to 284,744,304.40, 427,116,456.60 and 284,744,304.40 is: 427,116,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,744,304.40 : 427,116,456.60 = 284,744,304.40 : x
  2. Step 2: Convert to fraction form
    284,744,304.40/427,116,456.60 = 284,744,304.40/x
  3. Step 3: Cross multiply
    284,744,304.40x = 427,116,456.60 × 284,744,304.40
  4. Step 4: Simplify right side
    284,744,304.40x = 121,618,978,332,359,792
  5. Step 5: Solve for x
    x = 121,618,978,332,359,792/284,744,304.40
  6. Step 6: Final answer
    x = 427,116,456.60

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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.