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Finding the Fourth Proportional to 442,597,647.90, 620,543,699.70 and 442,597,647.90

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Solution

The fourth proportional to 442,597,647.90, 620,543,699.70 and 442,597,647.90 is: 620,543,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597,647.90 : 620,543,699.70 = 442,597,647.90 : x
  2. Step 2: Convert to fraction form
    442,597,647.90/620,543,699.70 = 442,597,647.90/x
  3. Step 3: Cross multiply
    442,597,647.90x = 620,543,699.70 × 442,597,647.90
  4. Step 4: Simplify right side
    442,597,647.90x = 274,651,181,906,383,936
  5. Step 5: Solve for x
    x = 274,651,181,906,383,936/442,597,647.90
  6. Step 6: Final answer
    x = 620,543,699.70

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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.