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Finding the Fourth Proportional to 157,224,177,049.20, 235,836,265,573.80 and 157,224,177,049.20

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Solution

The fourth proportional to 157,224,177,049.20, 235,836,265,573.80 and 157,224,177,049.20 is: 235,836,265,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224,177,049.20 : 235,836,265,573.80 = 157,224,177,049.20 : x
  2. Step 2: Convert to fraction form
    157,224,177,049.20/235,836,265,573.80 = 157,224,177,049.20/x
  3. Step 3: Cross multiply
    157,224,177,049.20x = 235,836,265,573.80 × 157,224,177,049.20
  4. Step 4: Simplify right side
    157,224,177,049.20x = 37,079,162,773,197,283,131,392
  5. Step 5: Solve for x
    x = 37,079,162,773,197,283,131,392/157,224,177,049.20
  6. Step 6: Final answer
    x = 235,836,265,573.80

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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.