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Finding the Fourth Proportional to 396,336,893,670.55, 594,505,340,505.82 and 396,336,893,670.55

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Solution

The fourth proportional to 396,336,893,670.55, 594,505,340,505.82 and 396,336,893,670.55 is: 594,505,340,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,893,670.55 : 594,505,340,505.82 = 396,336,893,670.55 : x
  2. Step 2: Convert to fraction form
    396,336,893,670.55/594,505,340,505.82 = 396,336,893,670.55/x
  3. Step 3: Cross multiply
    396,336,893,670.55x = 594,505,340,505.82 × 396,336,893,670.55
  4. Step 4: Simplify right side
    396,336,893,670.55x = 235,624,399,926,629,261,901,824
  5. Step 5: Solve for x
    x = 235,624,399,926,629,261,901,824/396,336,893,670.55
  6. Step 6: Final answer
    x = 594,505,340,505.82

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Double scale
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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.