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Finding the Fourth Proportional to 5,796,007,745.20, 8,694,011,617.80 and 5,796,007,745.20

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Solution

The fourth proportional to 5,796,007,745.20, 8,694,011,617.80 and 5,796,007,745.20 is: 8,694,011,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796,007,745.20 : 8,694,011,617.80 = 5,796,007,745.20 : x
  2. Step 2: Convert to fraction form
    5,796,007,745.20/8,694,011,617.80 = 5,796,007,745.20/x
  3. Step 3: Cross multiply
    5,796,007,745.20x = 8,694,011,617.80 × 5,796,007,745.20
  4. Step 4: Simplify right side
    5,796,007,745.20x = 50,390,558,673,627,578,368
  5. Step 5: Solve for x
    x = 50,390,558,673,627,578,368/5,796,007,745.20
  6. Step 6: Final answer
    x = 8,694,011,617.80

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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.