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Finding the Fourth Proportional to 266,499,340.40, 399,749,010.60 and 266,499,340.40

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Solution

The fourth proportional to 266,499,340.40, 399,749,010.60 and 266,499,340.40 is: 399,749,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,499,340.40 : 399,749,010.60 = 266,499,340.40 : x
  2. Step 2: Convert to fraction form
    266,499,340.40/399,749,010.60 = 266,499,340.40/x
  3. Step 3: Cross multiply
    266,499,340.40x = 399,749,010.60 × 266,499,340.40
  4. Step 4: Simplify right side
    266,499,340.40x = 106,532,847,650,452,624
  5. Step 5: Solve for x
    x = 106,532,847,650,452,624/266,499,340.40
  6. Step 6: Final answer
    x = 399,749,010.60

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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.