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Finding the Fourth Proportional to 2,300,794,564.10, 3,451,191,846.15 and 2,300,794,564.10

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Solution

The fourth proportional to 2,300,794,564.10, 3,451,191,846.15 and 2,300,794,564.10 is: 3,451,191,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,794,564.10 : 3,451,191,846.15 = 2,300,794,564.10 : x
  2. Step 2: Convert to fraction form
    2,300,794,564.10/3,451,191,846.15 = 2,300,794,564.10/x
  3. Step 3: Cross multiply
    2,300,794,564.10x = 3,451,191,846.15 × 2,300,794,564.10
  4. Step 4: Simplify right side
    2,300,794,564.10x = 7,940,483,439,288,163,328
  5. Step 5: Solve for x
    x = 7,940,483,439,288,163,328/2,300,794,564.10
  6. Step 6: Final answer
    x = 3,451,191,846.15

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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.