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Finding the Fourth Proportional to 12,104,830,966,041, 18,157,246,449,062 and 12,104,830,966,041

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Solution

The fourth proportional to 12,104,830,966,041, 18,157,246,449,062 and 12,104,830,966,041 is: 18,157,246,449,062

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104,830,966,041 : 18,157,246,449,062 = 12,104,830,966,041 : x
  2. Step 2: Convert to fraction form
    12,104,830,966,041/18,157,246,449,062 = 12,104,830,966,041/x
  3. Step 3: Cross multiply
    12,104,830,966,041x = 18,157,246,449,062 × 12,104,830,966,041
  4. Step 4: Simplify right side
    12,104,830,966,041x = 219,790,399,074,643,681,329,807,360
  5. Step 5: Solve for x
    x = 219,790,399,074,643,681,329,807,360/12,104,830,966,041
  6. Step 6: Final answer
    x = 18,157,246,449,062

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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.