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Finding the Fourth Proportional to 147,177,067,669.02, 220,765,601,503.53 and 147,177,067,669.02

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Solution

The fourth proportional to 147,177,067,669.02, 220,765,601,503.53 and 147,177,067,669.02 is: 220,765,601,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177,067,669.02 : 220,765,601,503.53 = 147,177,067,669.02 : x
  2. Step 2: Convert to fraction form
    147,177,067,669.02/220,765,601,503.53 = 147,177,067,669.02/x
  3. Step 3: Cross multiply
    147,177,067,669.02x = 220,765,601,503.53 × 147,177,067,669.02
  4. Step 4: Simplify right side
    147,177,067,669.02x = 32,491,633,871,476,934,836,224
  5. Step 5: Solve for x
    x = 32,491,633,871,476,934,836,224/147,177,067,669.02
  6. Step 6: Final answer
    x = 220,765,601,503.53

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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.