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Finding the Fourth Proportional to 174,785,202,000.15, 262,177,803,000.22 and 174,785,202,000.15

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Solution

The fourth proportional to 174,785,202,000.15, 262,177,803,000.22 and 174,785,202,000.15 is: 262,177,803,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,785,202,000.15 : 262,177,803,000.22 = 174,785,202,000.15 : x
  2. Step 2: Convert to fraction form
    174,785,202,000.15/262,177,803,000.22 = 174,785,202,000.15/x
  3. Step 3: Cross multiply
    174,785,202,000.15x = 262,177,803,000.22 × 174,785,202,000.15
  4. Step 4: Simplify right side
    174,785,202,000.15x = 45,824,800,257,348,982,538,240
  5. Step 5: Solve for x
    x = 45,824,800,257,348,982,538,240/174,785,202,000.15
  6. Step 6: Final answer
    x = 262,177,803,000.22

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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.