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Finding the Fourth Proportional to 491,340,411,027.10, 737,010,616,540.65 and 491,340,411,027.10

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Solution

The fourth proportional to 491,340,411,027.10, 737,010,616,540.65 and 491,340,411,027.10 is: 737,010,616,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,340,411,027.10 : 737,010,616,540.65 = 491,340,411,027.10 : x
  2. Step 2: Convert to fraction form
    491,340,411,027.10/737,010,616,540.65 = 491,340,411,027.10/x
  3. Step 3: Cross multiply
    491,340,411,027.10x = 737,010,616,540.65 × 491,340,411,027.10
  4. Step 4: Simplify right side
    491,340,411,027.10x = 362,123,099,262,419,346,653,184
  5. Step 5: Solve for x
    x = 362,123,099,262,419,346,653,184/491,340,411,027.10
  6. Step 6: Final answer
    x = 737,010,616,540.65

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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.