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Finding the Fourth Proportional to 85,100,534,739.40, 127,650,802,109.10 and 85,100,534,739.40

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Solution

The fourth proportional to 85,100,534,739.40, 127,650,802,109.10 and 85,100,534,739.40 is: 127,650,802,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100,534,739.40 : 127,650,802,109.10 = 85,100,534,739.40 : x
  2. Step 2: Convert to fraction form
    85,100,534,739.40/127,650,802,109.10 = 85,100,534,739.40/x
  3. Step 3: Cross multiply
    85,100,534,739.40x = 127,650,802,109.10 × 85,100,534,739.40
  4. Step 4: Simplify right side
    85,100,534,739.40x = 10,863,151,519,397,738,184,704
  5. Step 5: Solve for x
    x = 10,863,151,519,397,738,184,704/85,100,534,739.40
  6. Step 6: Final answer
    x = 127,650,802,109.10

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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.