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Finding the Fourth Proportional to 3,561,556,554,024, 5,342,334,831,036 and 3,561,556,554,024

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Solution

The fourth proportional to 3,561,556,554,024, 5,342,334,831,036 and 3,561,556,554,024 is: 5,342,334,831,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561,556,554,024 : 5,342,334,831,036 = 3,561,556,554,024 : x
  2. Step 2: Convert to fraction form
    3,561,556,554,024/5,342,334,831,036 = 3,561,556,554,024/x
  3. Step 3: Cross multiply
    3,561,556,554,024x = 5,342,334,831,036 × 3,561,556,554,024
  4. Step 4: Simplify right side
    3,561,556,554,024x = 19,027,027,631,266,963,444,989,952
  5. Step 5: Solve for x
    x = 19,027,027,631,266,963,444,989,952/3,561,556,554,024
  6. Step 6: Final answer
    x = 5,342,334,831,036

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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.