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Finding the Fourth Proportional to 3,823,341,350.40, 5,735,012,025.60 and 3,823,341,350.40

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Solution

The fourth proportional to 3,823,341,350.40, 5,735,012,025.60 and 3,823,341,350.40 is: 5,735,012,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823,341,350.40 : 5,735,012,025.60 = 3,823,341,350.40 : x
  2. Step 2: Convert to fraction form
    3,823,341,350.40/5,735,012,025.60 = 3,823,341,350.40/x
  3. Step 3: Cross multiply
    3,823,341,350.40x = 5,735,012,025.60 × 3,823,341,350.40
  4. Step 4: Simplify right side
    3,823,341,350.40x = 21,926,908,622,517,743,616
  5. Step 5: Solve for x
    x = 21,926,908,622,517,743,616/3,823,341,350.40
  6. Step 6: Final answer
    x = 5,735,012,025.60

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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.