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Finding the Fourth Proportional to 128,120,871,604.60, 192,181,307,406.90 and 128,120,871,604.60

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Solution

The fourth proportional to 128,120,871,604.60, 192,181,307,406.90 and 128,120,871,604.60 is: 192,181,307,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,120,871,604.60 : 192,181,307,406.90 = 128,120,871,604.60 : x
  2. Step 2: Convert to fraction form
    128,120,871,604.60/192,181,307,406.90 = 128,120,871,604.60/x
  3. Step 3: Cross multiply
    128,120,871,604.60x = 192,181,307,406.90 × 128,120,871,604.60
  4. Step 4: Simplify right side
    128,120,871,604.60x = 24,622,436,611,083,596,726,272
  5. Step 5: Solve for x
    x = 24,622,436,611,083,596,726,272/128,120,871,604.60
  6. Step 6: Final answer
    x = 192,181,307,406.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.