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Finding the Fourth Proportional to 427,493,618,233.20, 641,240,427,349.80 and 427,493,618,233.20

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Solution

The fourth proportional to 427,493,618,233.20, 641,240,427,349.80 and 427,493,618,233.20 is: 641,240,427,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,493,618,233.20 : 641,240,427,349.80 = 427,493,618,233.20 : x
  2. Step 2: Convert to fraction form
    427,493,618,233.20/641,240,427,349.80 = 427,493,618,233.20/x
  3. Step 3: Cross multiply
    427,493,618,233.20x = 641,240,427,349.80 × 427,493,618,233.20
  4. Step 4: Simplify right side
    427,493,618,233.20x = 274,126,190,445,169,437,835,264
  5. Step 5: Solve for x
    x = 274,126,190,445,169,437,835,264/427,493,618,233.20
  6. Step 6: Final answer
    x = 641,240,427,349.80

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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.