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Finding the Fourth Proportional to 20,203,261,056,076, 30,304,891,584,120 and 20,203,261,056,076

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Solution

The fourth proportional to 20,203,261,056,076, 30,304,891,584,120 and 20,203,261,056,076 is: 30,304,891,584,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203,261,056,076 : 30,304,891,584,120 = 20,203,261,056,076 : x
  2. Step 2: Convert to fraction form
    20,203,261,056,076/30,304,891,584,120 = 20,203,261,056,076/x
  3. Step 3: Cross multiply
    20,203,261,056,076x = 30,304,891,584,120 × 20,203,261,056,076
  4. Step 4: Simplify right side
    20,203,261,056,076x = 612,257,635,950,056,895,158,419,456
  5. Step 5: Solve for x
    x = 612,257,635,950,056,895,158,419,456/20,203,261,056,076
  6. Step 6: Final answer
    x = 30,304,891,584,120

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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.