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Finding the Fourth Proportional to 4,147,766,999.98, 6,221,650,499.96 and 4,147,766,999.98

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Solution

The fourth proportional to 4,147,766,999.98, 6,221,650,499.96 and 4,147,766,999.98 is: 6,221,650,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,766,999.98 : 6,221,650,499.96 = 4,147,766,999.98 : x
  2. Step 2: Convert to fraction form
    4,147,766,999.98/6,221,650,499.96 = 4,147,766,999.98/x
  3. Step 3: Cross multiply
    4,147,766,999.98x = 6,221,650,499.96 × 4,147,766,999.98
  4. Step 4: Simplify right side
    4,147,766,999.98x = 25,805,956,629,122,416,640
  5. Step 5: Solve for x
    x = 25,805,956,629,122,416,640/4,147,766,999.98
  6. Step 6: Final answer
    x = 6,221,650,499.96

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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.