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Finding the Fourth Proportional to 561,487,906.80, 842,231,860.20 and 561,487,906.80

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Solution

The fourth proportional to 561,487,906.80, 842,231,860.20 and 561,487,906.80 is: 842,231,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,487,906.80 : 842,231,860.20 = 561,487,906.80 : x
  2. Step 2: Convert to fraction form
    561,487,906.80/842,231,860.20 = 561,487,906.80/x
  3. Step 3: Cross multiply
    561,487,906.80x = 842,231,860.20 × 561,487,906.80
  4. Step 4: Simplify right side
    561,487,906.80x = 472,903,004,223,968,192
  5. Step 5: Solve for x
    x = 472,903,004,223,968,192/561,487,906.80
  6. Step 6: Final answer
    x = 842,231,860.20

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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.