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Finding the Fourth Proportional to 24,481,092,128.80, 34,338,832,450.40 and 24,481,092,128.80

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Solution

The fourth proportional to 24,481,092,128.80, 34,338,832,450.40 and 24,481,092,128.80 is: 34,338,832,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481,092,128.80 : 34,338,832,450.40 = 24,481,092,128.80 : x
  2. Step 2: Convert to fraction form
    24,481,092,128.80/34,338,832,450.40 = 24,481,092,128.80/x
  3. Step 3: Cross multiply
    24,481,092,128.80x = 34,338,832,450.40 × 24,481,092,128.80
  4. Step 4: Simplify right side
    24,481,092,128.80x = 840,652,120,813,669,449,728
  5. Step 5: Solve for x
    x = 840,652,120,813,669,449,728/24,481,092,128.80
  6. Step 6: Final answer
    x = 34,338,832,450.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.