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Finding the Fourth Proportional to 2,265,522,048,764, 3,398,283,073,146 and 2,265,522,048,764

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Solution

The fourth proportional to 2,265,522,048,764, 3,398,283,073,146 and 2,265,522,048,764 is: 3,398,283,073,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,522,048,764 : 3,398,283,073,146 = 2,265,522,048,764 : x
  2. Step 2: Convert to fraction form
    2,265,522,048,764/3,398,283,073,146 = 2,265,522,048,764/x
  3. Step 3: Cross multiply
    2,265,522,048,764x = 3,398,283,073,146 × 2,265,522,048,764
  4. Step 4: Simplify right side
    2,265,522,048,764x = 7,698,885,230,153,747,509,805,056
  5. Step 5: Solve for x
    x = 7,698,885,230,153,747,509,805,056/2,265,522,048,764
  6. Step 6: Final answer
    x = 3,398,283,073,146

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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.