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Finding the Fourth Proportional to 2,295,757,728,027, 3,443,636,592,040.80 and 2,295,757,728,027

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Solution

The fourth proportional to 2,295,757,728,027, 3,443,636,592,040.80 and 2,295,757,728,027 is: 3,443,636,592,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,757,728,027 : 3,443,636,592,040.80 = 2,295,757,728,027 : x
  2. Step 2: Convert to fraction form
    2,295,757,728,027/3,443,636,592,040.80 = 2,295,757,728,027/x
  3. Step 3: Cross multiply
    2,295,757,728,027x = 3,443,636,592,040.80 × 2,295,757,728,027
  4. Step 4: Simplify right side
    2,295,757,728,027x = 7,905,755,318,694,227,690,389,504
  5. Step 5: Solve for x
    x = 7,905,755,318,694,227,690,389,504/2,295,757,728,027
  6. Step 6: Final answer
    x = 3,443,636,592,040.80

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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.