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Finding the Fourth Proportional to 6,205,896,015.45, 9,308,844,023.19 and 6,205,896,015.45

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Solution

The fourth proportional to 6,205,896,015.45, 9,308,844,023.19 and 6,205,896,015.45 is: 9,308,844,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,896,015.45 : 9,308,844,023.19 = 6,205,896,015.45 : x
  2. Step 2: Convert to fraction form
    6,205,896,015.45/9,308,844,023.19 = 6,205,896,015.45/x
  3. Step 3: Cross multiply
    6,205,896,015.45x = 9,308,844,023.19 × 6,205,896,015.45
  4. Step 4: Simplify right side
    6,205,896,015.45x = 57,769,718,031,960,367,104
  5. Step 5: Solve for x
    x = 57,769,718,031,960,367,104/6,205,896,015.45
  6. Step 6: Final answer
    x = 9,308,844,023.19

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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.