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Finding the Fourth Proportional to 491,649,771.15, 737,474,656.73 and 491,649,771.15

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Solution

The fourth proportional to 491,649,771.15, 737,474,656.73 and 491,649,771.15 is: 737,474,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,649,771.15 : 737,474,656.73 = 491,649,771.15 : x
  2. Step 2: Convert to fraction form
    491,649,771.15/737,474,656.73 = 491,649,771.15/x
  3. Step 3: Cross multiply
    491,649,771.15x = 737,474,656.73 × 491,649,771.15
  4. Step 4: Simplify right side
    491,649,771.15x = 362,579,246,207,771,072
  5. Step 5: Solve for x
    x = 362,579,246,207,771,072/491,649,771.15
  6. Step 6: Final answer
    x = 737,474,656.73

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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.