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Finding the Fourth Proportional to 206,876,704,480.40, 310,315,056,720.60 and 206,876,704,480.40

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Solution

The fourth proportional to 206,876,704,480.40, 310,315,056,720.60 and 206,876,704,480.40 is: 310,315,056,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,704,480.40 : 310,315,056,720.60 = 206,876,704,480.40 : x
  2. Step 2: Convert to fraction form
    206,876,704,480.40/310,315,056,720.60 = 206,876,704,480.40/x
  3. Step 3: Cross multiply
    206,876,704,480.40x = 310,315,056,720.60 × 206,876,704,480.40
  4. Step 4: Simplify right side
    206,876,704,480.40x = 64,196,956,285,006,122,057,728
  5. Step 5: Solve for x
    x = 64,196,956,285,006,122,057,728/206,876,704,480.40
  6. Step 6: Final answer
    x = 310,315,056,720.60

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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.