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Finding the Fourth Proportional to 5,318,784,507.40, 7,458,542,711 and 5,318,784,507.40

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Solution

The fourth proportional to 5,318,784,507.40, 7,458,542,711 and 5,318,784,507.40 is: 7,458,542,711

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,784,507.40 : 7,458,542,711 = 5,318,784,507.40 : x
  2. Step 2: Convert to fraction form
    5,318,784,507.40/7,458,542,711 = 5,318,784,507.40/x
  3. Step 3: Cross multiply
    5,318,784,507.40x = 7,458,542,711 × 5,318,784,507.40
  4. Step 4: Simplify right side
    5,318,784,507.40x = 39,670,381,419,047,993,344
  5. Step 5: Solve for x
    x = 39,670,381,419,047,993,344/5,318,784,507.40
  6. Step 6: Final answer
    x = 7,458,542,711

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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.