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Finding the Fourth Proportional to 147,177,067,672.77, 220,765,601,509.14 and 147,177,067,672.77

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Solution

The fourth proportional to 147,177,067,672.77, 220,765,601,509.14 and 147,177,067,672.77 is: 220,765,601,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177,067,672.77 : 220,765,601,509.14 = 147,177,067,672.77 : x
  2. Step 2: Convert to fraction form
    147,177,067,672.77/220,765,601,509.14 = 147,177,067,672.77/x
  3. Step 3: Cross multiply
    147,177,067,672.77x = 220,765,601,509.14 × 147,177,067,672.77
  4. Step 4: Simplify right side
    147,177,067,672.77x = 32,491,633,873,130,472,079,360
  5. Step 5: Solve for x
    x = 32,491,633,873,130,472,079,360/147,177,067,672.77
  6. Step 6: Final answer
    x = 220,765,601,509.14

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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.