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Finding the Fourth Proportional to 14,427,643,512.15, 21,641,465,268.23 and 14,427,643,512.15

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Solution

The fourth proportional to 14,427,643,512.15, 21,641,465,268.23 and 14,427,643,512.15 is: 21,641,465,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427,643,512.15 : 21,641,465,268.23 = 14,427,643,512.15 : x
  2. Step 2: Convert to fraction form
    14,427,643,512.15/21,641,465,268.23 = 14,427,643,512.15/x
  3. Step 3: Cross multiply
    14,427,643,512.15x = 21,641,465,268.23 × 14,427,643,512.15
  4. Step 4: Simplify right side
    14,427,643,512.15x = 312,235,345,970,525,962,240
  5. Step 5: Solve for x
    x = 312,235,345,970,525,962,240/14,427,643,512.15
  6. Step 6: Final answer
    x = 21,641,465,268.23

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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.