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Finding the Fourth Proportional to 128,120,869,197.60, 192,181,303,796.40 and 128,120,869,197.60

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Solution

The fourth proportional to 128,120,869,197.60, 192,181,303,796.40 and 128,120,869,197.60 is: 192,181,303,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,120,869,197.60 : 192,181,303,796.40 = 128,120,869,197.60 : x
  2. Step 2: Convert to fraction form
    128,120,869,197.60/192,181,303,796.40 = 128,120,869,197.60/x
  3. Step 3: Cross multiply
    128,120,869,197.60x = 192,181,303,796.40 × 128,120,869,197.60
  4. Step 4: Simplify right side
    128,120,869,197.60x = 24,622,435,685,922,794,110,976
  5. Step 5: Solve for x
    x = 24,622,435,685,922,794,110,976/128,120,869,197.60
  6. Step 6: Final answer
    x = 192,181,303,796.40

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1.5x scale

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.