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Finding the Fourth Proportional to 891,757,997,999.75, 1,337,636,996,999.70 and 891,757,997,999.75

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Solution

The fourth proportional to 891,757,997,999.75, 1,337,636,996,999.70 and 891,757,997,999.75 is: 1,337,636,996,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,757,997,999.75 : 1,337,636,996,999.70 = 891,757,997,999.75 : x
  2. Step 2: Convert to fraction form
    891,757,997,999.75/1,337,636,996,999.70 = 891,757,997,999.75/x
  3. Step 3: Cross multiply
    891,757,997,999.75x = 1,337,636,996,999.70 × 891,757,997,999.75
  4. Step 4: Simplify right side
    891,757,997,999.75x = 1,192,848,490,494,850,022,506,496
  5. Step 5: Solve for x
    x = 1,192,848,490,494,850,022,506,496/891,757,997,999.75
  6. Step 6: Final answer
    x = 1,337,636,996,999.70

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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.