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Finding the Fourth Proportional to 128,934,577,393.70, 193,401,866,090.55 and 128,934,577,393.70

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Solution

The fourth proportional to 128,934,577,393.70, 193,401,866,090.55 and 128,934,577,393.70 is: 193,401,866,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,934,577,393.70 : 193,401,866,090.55 = 128,934,577,393.70 : x
  2. Step 2: Convert to fraction form
    128,934,577,393.70/193,401,866,090.55 = 128,934,577,393.70/x
  3. Step 3: Cross multiply
    128,934,577,393.70x = 193,401,866,090.55 × 128,934,577,393.70
  4. Step 4: Simplify right side
    128,934,577,393.70x = 24,936,187,871,538,020,614,144
  5. Step 5: Solve for x
    x = 24,936,187,871,538,020,614,144/128,934,577,393.70
  6. Step 6: Final answer
    x = 193,401,866,090.55

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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.