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Finding the Fourth Proportional to 3,903,738,623,999.10, 5,855,607,935,998.70 and 3,903,738,623,999.10

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Solution

The fourth proportional to 3,903,738,623,999.10, 5,855,607,935,998.70 and 3,903,738,623,999.10 is: 5,855,607,935,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903,738,623,999.10 : 5,855,607,935,998.70 = 3,903,738,623,999.10 : x
  2. Step 2: Convert to fraction form
    3,903,738,623,999.10/5,855,607,935,998.70 = 3,903,738,623,999.10/x
  3. Step 3: Cross multiply
    3,903,738,623,999.10x = 5,855,607,935,998.70 × 3,903,738,623,999.10
  4. Step 4: Simplify right side
    3,903,738,623,999.10x = 22,858,762,866,753,776,937,598,976
  5. Step 5: Solve for x
    x = 22,858,762,866,753,776,937,598,976/3,903,738,623,999.10
  6. Step 6: Final answer
    x = 5,855,607,935,998.70

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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.