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Finding the Fourth Proportional to 396,336,888,000.68, 594,505,332,001.02 and 396,336,888,000.68

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Solution

The fourth proportional to 396,336,888,000.68, 594,505,332,001.02 and 396,336,888,000.68 is: 594,505,332,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,336,888,000.68 : 594,505,332,001.02 = 396,336,888,000.68 : x
  2. Step 2: Convert to fraction form
    396,336,888,000.68/594,505,332,001.02 = 396,336,888,000.68/x
  3. Step 3: Cross multiply
    396,336,888,000.68x = 594,505,332,001.02 × 396,336,888,000.68
  4. Step 4: Simplify right side
    396,336,888,000.68x = 235,624,393,185,095,351,009,280
  5. Step 5: Solve for x
    x = 235,624,393,185,095,351,009,280/396,336,888,000.68
  6. Step 6: Final answer
    x = 594,505,332,001.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.