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Finding the Fourth Proportional to 200,422,355.40, 279,986,635.80 and 200,422,355.40

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Solution

The fourth proportional to 200,422,355.40, 279,986,635.80 and 200,422,355.40 is: 279,986,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422,355.40 : 279,986,635.80 = 200,422,355.40 : x
  2. Step 2: Convert to fraction form
    200,422,355.40/279,986,635.80 = 200,422,355.40/x
  3. Step 3: Cross multiply
    200,422,355.40x = 279,986,635.80 × 200,422,355.40
  4. Step 4: Simplify right side
    200,422,355.40x = 56,115,581,027,557,968
  5. Step 5: Solve for x
    x = 56,115,581,027,557,968/200,422,355.40
  6. Step 6: Final answer
    x = 279,986,635.80

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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.