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Finding the Fourth Proportional to 26,885,767,269.60, 40,328,650,904.40 and 26,885,767,269.60

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Solution

The fourth proportional to 26,885,767,269.60, 40,328,650,904.40 and 26,885,767,269.60 is: 40,328,650,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,885,767,269.60 : 40,328,650,904.40 = 26,885,767,269.60 : x
  2. Step 2: Convert to fraction form
    26,885,767,269.60/40,328,650,904.40 = 26,885,767,269.60/x
  3. Step 3: Cross multiply
    26,885,767,269.60x = 40,328,650,904.40 × 26,885,767,269.60
  4. Step 4: Simplify right side
    26,885,767,269.60x = 1,084,266,722,512,641,982,464
  5. Step 5: Solve for x
    x = 1,084,266,722,512,641,982,464/26,885,767,269.60
  6. Step 6: Final answer
    x = 40,328,650,904.40

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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.