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Finding the Fourth Proportional to 53,467,776,049.60, 80,201,664,074.40 and 53,467,776,049.60

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Solution

The fourth proportional to 53,467,776,049.60, 80,201,664,074.40 and 53,467,776,049.60 is: 80,201,664,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467,776,049.60 : 80,201,664,074.40 = 53,467,776,049.60 : x
  2. Step 2: Convert to fraction form
    53,467,776,049.60/80,201,664,074.40 = 53,467,776,049.60/x
  3. Step 3: Cross multiply
    53,467,776,049.60x = 80,201,664,074.40 × 53,467,776,049.60
  4. Step 4: Simplify right side
    53,467,776,049.60x = 4,288,204,613,535,268,864,000
  5. Step 5: Solve for x
    x = 4,288,204,613,535,268,864,000/53,467,776,049.60
  6. Step 6: Final answer
    x = 80,201,664,074.40

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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.