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Finding the Fourth Proportional to 5,318,784,493.65, 7,458,542,691.75 and 5,318,784,493.65

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Solution

The fourth proportional to 5,318,784,493.65, 7,458,542,691.75 and 5,318,784,493.65 is: 7,458,542,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,784,493.65 : 7,458,542,691.75 = 5,318,784,493.65 : x
  2. Step 2: Convert to fraction form
    5,318,784,493.65/7,458,542,691.75 = 5,318,784,493.65/x
  3. Step 3: Cross multiply
    5,318,784,493.65x = 7,458,542,691.75 × 5,318,784,493.65
  4. Step 4: Simplify right side
    5,318,784,493.65x = 39,670,381,214,106,427,392
  5. Step 5: Solve for x
    x = 39,670,381,214,106,427,392/5,318,784,493.65
  6. Step 6: Final answer
    x = 7,458,542,691.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.