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Finding the Fourth Proportional to 3,800,105,999.70, 5,700,158,999.55 and 3,800,105,999.70

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Solution

The fourth proportional to 3,800,105,999.70, 5,700,158,999.55 and 3,800,105,999.70 is: 5,700,158,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800,105,999.70 : 5,700,158,999.55 = 3,800,105,999.70 : x
  2. Step 2: Convert to fraction form
    3,800,105,999.70/5,700,158,999.55 = 3,800,105,999.70/x
  3. Step 3: Cross multiply
    3,800,105,999.70x = 5,700,158,999.55 × 3,800,105,999.70
  4. Step 4: Simplify right side
    3,800,105,999.70x = 21,661,208,413,433,905,152
  5. Step 5: Solve for x
    x = 21,661,208,413,433,905,152/3,800,105,999.70
  6. Step 6: Final answer
    x = 5,700,158,999.55

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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.