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Finding the Fourth Proportional to 5,171,903,999.10, 7,757,855,998.65 and 5,171,903,999.10

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Solution

The fourth proportional to 5,171,903,999.10, 7,757,855,998.65 and 5,171,903,999.10 is: 7,757,855,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171,903,999.10 : 7,757,855,998.65 = 5,171,903,999.10 : x
  2. Step 2: Convert to fraction form
    5,171,903,999.10/7,757,855,998.65 = 5,171,903,999.10/x
  3. Step 3: Cross multiply
    5,171,903,999.10x = 7,757,855,998.65 × 5,171,903,999.10
  4. Step 4: Simplify right side
    5,171,903,999.10x = 40,122,886,463,859,859,456
  5. Step 5: Solve for x
    x = 40,122,886,463,859,859,456/5,171,903,999.10
  6. Step 6: Final answer
    x = 7,757,855,998.65

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1.5x scale

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.