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Finding the Fourth Proportional to 3,561,556,554,027, 5,342,334,831,040 and 3,561,556,554,027

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Solution

The fourth proportional to 3,561,556,554,027, 5,342,334,831,040 and 3,561,556,554,027 is: 5,342,334,831,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561,556,554,027 : 5,342,334,831,040 = 3,561,556,554,027 : x
  2. Step 2: Convert to fraction form
    3,561,556,554,027/5,342,334,831,040 = 3,561,556,554,027/x
  3. Step 3: Cross multiply
    3,561,556,554,027x = 5,342,334,831,040 × 3,561,556,554,027
  4. Step 4: Simplify right side
    3,561,556,554,027x = 19,027,027,631,297,238,669,459,456
  5. Step 5: Solve for x
    x = 19,027,027,631,297,238,669,459,456/3,561,556,554,027
  6. Step 6: Final answer
    x = 5,342,334,831,040

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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.