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Finding the Fourth Proportional to 173,840,256,062.14, 260,760,384,093.21 and 173,840,256,062.14

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Solution

The fourth proportional to 173,840,256,062.14, 260,760,384,093.21 and 173,840,256,062.14 is: 260,760,384,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,256,062.14 : 260,760,384,093.21 = 173,840,256,062.14 : x
  2. Step 2: Convert to fraction form
    173,840,256,062.14/260,760,384,093.21 = 173,840,256,062.14/x
  3. Step 3: Cross multiply
    173,840,256,062.14x = 260,760,384,093.21 × 173,840,256,062.14
  4. Step 4: Simplify right side
    173,840,256,062.14x = 45,330,651,941,625,604,866,048
  5. Step 5: Solve for x
    x = 45,330,651,941,625,604,866,048/173,840,256,062.14
  6. Step 6: Final answer
    x = 260,760,384,093.21

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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.