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Finding the Fourth Proportional to 128,934,577,393.20, 193,401,866,089.80 and 128,934,577,393.20

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Solution

The fourth proportional to 128,934,577,393.20, 193,401,866,089.80 and 128,934,577,393.20 is: 193,401,866,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,934,577,393.20 : 193,401,866,089.80 = 128,934,577,393.20 : x
  2. Step 2: Convert to fraction form
    128,934,577,393.20/193,401,866,089.80 = 128,934,577,393.20/x
  3. Step 3: Cross multiply
    128,934,577,393.20x = 193,401,866,089.80 × 128,934,577,393.20
  4. Step 4: Simplify right side
    128,934,577,393.20x = 24,936,187,871,344,617,062,400
  5. Step 5: Solve for x
    x = 24,936,187,871,344,617,062,400/128,934,577,393.20
  6. Step 6: Final answer
    x = 193,401,866,089.80

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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.