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Finding the Fourth Proportional to 5,318,784,847.90, 7,978,177,271.85 and 5,318,784,847.90

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Solution

The fourth proportional to 5,318,784,847.90, 7,978,177,271.85 and 5,318,784,847.90 is: 7,978,177,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,784,847.90 : 7,978,177,271.85 = 5,318,784,847.90 : x
  2. Step 2: Convert to fraction form
    5,318,784,847.90/7,978,177,271.85 = 5,318,784,847.90/x
  3. Step 3: Cross multiply
    5,318,784,847.90x = 7,978,177,271.85 × 5,318,784,847.90
  4. Step 4: Simplify right side
    5,318,784,847.90x = 42,434,208,387,375,939,584
  5. Step 5: Solve for x
    x = 42,434,208,387,375,939,584/5,318,784,847.90
  6. Step 6: Final answer
    x = 7,978,177,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.