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Finding the Fourth Proportional to 128,127,743,999.85, 192,191,615,999.77 and 128,127,743,999.85

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Solution

The fourth proportional to 128,127,743,999.85, 192,191,615,999.77 and 128,127,743,999.85 is: 192,191,615,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,743,999.85 : 192,191,615,999.77 = 128,127,743,999.85 : x
  2. Step 2: Convert to fraction form
    128,127,743,999.85/192,191,615,999.77 = 128,127,743,999.85/x
  3. Step 3: Cross multiply
    128,127,743,999.85x = 192,191,615,999.77 × 128,127,743,999.85
  4. Step 4: Simplify right side
    128,127,743,999.85x = 24,625,078,173,736,005,271,552
  5. Step 5: Solve for x
    x = 24,625,078,173,736,005,271,552/128,127,743,999.85
  6. Step 6: Final answer
    x = 192,191,615,999.77

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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.