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Finding the Fourth Proportional to 5,396,544,098.30, 8,094,816,147.45 and 5,396,544,098.30

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Solution

The fourth proportional to 5,396,544,098.30, 8,094,816,147.45 and 5,396,544,098.30 is: 8,094,816,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396,544,098.30 : 8,094,816,147.45 = 5,396,544,098.30 : x
  2. Step 2: Convert to fraction form
    5,396,544,098.30/8,094,816,147.45 = 5,396,544,098.30/x
  3. Step 3: Cross multiply
    5,396,544,098.30x = 8,094,816,147.45 × 5,396,544,098.30
  4. Step 4: Simplify right side
    5,396,544,098.30x = 43,684,032,307,344,842,752
  5. Step 5: Solve for x
    x = 43,684,032,307,344,842,752/5,396,544,098.30
  6. Step 6: Final answer
    x = 8,094,816,147.45

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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.