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Finding the Fourth Proportional to 56,383,543.80, 78,766,900.20 and 56,383,543.80

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Solution

The fourth proportional to 56,383,543.80, 78,766,900.20 and 56,383,543.80 is: 78,766,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,383,543.80 : 78,766,900.20 = 56,383,543.80 : x
  2. Step 2: Convert to fraction form
    56,383,543.80/78,766,900.20 = 56,383,543.80/x
  3. Step 3: Cross multiply
    56,383,543.80x = 78,766,900.20 × 56,383,543.80
  4. Step 4: Simplify right side
    56,383,543.80x = 4,441,156,967,416,928.50
  5. Step 5: Solve for x
    x = 4,441,156,967,416,928.50/56,383,543.80
  6. Step 6: Final answer
    x = 78,766,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.