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Finding the Fourth Proportional to 5,516,213,238,093.70, 8,274,319,857,140.70 and 5,516,213,238,093.70

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Solution

The fourth proportional to 5,516,213,238,093.70, 8,274,319,857,140.70 and 5,516,213,238,093.70 is: 8,274,319,857,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516,213,238,093.70 : 8,274,319,857,140.70 = 5,516,213,238,093.70 : x
  2. Step 2: Convert to fraction form
    5,516,213,238,093.70/8,274,319,857,140.70 = 5,516,213,238,093.70/x
  3. Step 3: Cross multiply
    5,516,213,238,093.70x = 8,274,319,857,140.70 × 5,516,213,238,093.70
  4. Step 4: Simplify right side
    5,516,213,238,093.70x = 45,642,912,732,181,105,515,429,888
  5. Step 5: Solve for x
    x = 45,642,912,732,181,105,515,429,888/5,516,213,238,093.70
  6. Step 6: Final answer
    x = 8,274,319,857,140.70

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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.