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Finding the Fourth Proportional to 396,337,158,045.68, 594,505,737,068.52 and 396,337,158,045.68

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Solution

The fourth proportional to 396,337,158,045.68, 594,505,737,068.52 and 396,337,158,045.68 is: 594,505,737,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,337,158,045.68 : 594,505,737,068.52 = 396,337,158,045.68 : x
  2. Step 2: Convert to fraction form
    396,337,158,045.68/594,505,737,068.52 = 396,337,158,045.68/x
  3. Step 3: Cross multiply
    396,337,158,045.68x = 594,505,737,068.52 × 396,337,158,045.68
  4. Step 4: Simplify right side
    396,337,158,045.68x = 235,624,714,271,589,501,239,296
  5. Step 5: Solve for x
    x = 235,624,714,271,589,501,239,296/396,337,158,045.68
  6. Step 6: Final answer
    x = 594,505,737,068.52

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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.