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Finding the Fourth Proportional to 18,197,831,862.30, 27,296,747,793.45 and 18,197,831,862.30

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Solution

The fourth proportional to 18,197,831,862.30, 27,296,747,793.45 and 18,197,831,862.30 is: 27,296,747,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197,831,862.30 : 27,296,747,793.45 = 18,197,831,862.30 : x
  2. Step 2: Convert to fraction form
    18,197,831,862.30/27,296,747,793.45 = 18,197,831,862.30/x
  3. Step 3: Cross multiply
    18,197,831,862.30x = 27,296,747,793.45 × 18,197,831,862.30
  4. Step 4: Simplify right side
    18,197,831,862.30x = 496,741,626,732,811,649,024
  5. Step 5: Solve for x
    x = 496,741,626,732,811,649,024/18,197,831,862.30
  6. Step 6: Final answer
    x = 27,296,747,793.45

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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.