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Finding the Fourth Proportional to 948,093,635.40, 1,328,238,082.20 and 948,093,635.40

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Solution

The fourth proportional to 948,093,635.40, 1,328,238,082.20 and 948,093,635.40 is: 1,328,238,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,093,635.40 : 1,328,238,082.20 = 948,093,635.40 : x
  2. Step 2: Convert to fraction form
    948,093,635.40/1,328,238,082.20 = 948,093,635.40/x
  3. Step 3: Cross multiply
    948,093,635.40x = 1,328,238,082.20 × 948,093,635.40
  4. Step 4: Simplify right side
    948,093,635.40x = 1,259,294,072,029,722,112
  5. Step 5: Solve for x
    x = 1,259,294,072,029,722,112/948,093,635.40
  6. Step 6: Final answer
    x = 1,328,238,082.20

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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.