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Finding the Fourth Proportional to 137,797,055,108.55, 206,695,582,662.82 and 137,797,055,108.55

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Solution

The fourth proportional to 137,797,055,108.55, 206,695,582,662.82 and 137,797,055,108.55 is: 206,695,582,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797,055,108.55 : 206,695,582,662.82 = 137,797,055,108.55 : x
  2. Step 2: Convert to fraction form
    137,797,055,108.55/206,695,582,662.82 = 137,797,055,108.55/x
  3. Step 3: Cross multiply
    137,797,055,108.55x = 206,695,582,662.82 × 137,797,055,108.55
  4. Step 4: Simplify right side
    137,797,055,108.55x = 28,482,042,594,882,459,009,024
  5. Step 5: Solve for x
    x = 28,482,042,594,882,459,009,024/137,797,055,108.55
  6. Step 6: Final answer
    x = 206,695,582,662.82

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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.