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Finding the Fourth Proportional to 260,760,383,999.80, 391,140,575,999.67 and 260,760,383,999.80

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Solution

The fourth proportional to 260,760,383,999.80, 391,140,575,999.67 and 260,760,383,999.80 is: 391,140,575,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,383,999.80 : 391,140,575,999.67 = 260,760,383,999.80 : x
  2. Step 2: Convert to fraction form
    260,760,383,999.80/391,140,575,999.67 = 260,760,383,999.80/x
  3. Step 3: Cross multiply
    260,760,383,999.80x = 391,140,575,999.67 × 260,760,383,999.80
  4. Step 4: Simplify right side
    260,760,383,999.80x = 101,993,966,795,576,890,621,952
  5. Step 5: Solve for x
    x = 101,993,966,795,576,890,621,952/260,760,383,999.80
  6. Step 6: Final answer
    x = 391,140,575,999.67

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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.