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Finding the Fourth Proportional to 268,959,744,046.40, 403,439,616,069.60 and 268,959,744,046.40

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Solution

The fourth proportional to 268,959,744,046.40, 403,439,616,069.60 and 268,959,744,046.40 is: 403,439,616,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,959,744,046.40 : 403,439,616,069.60 = 268,959,744,046.40 : x
  2. Step 2: Convert to fraction form
    268,959,744,046.40/403,439,616,069.60 = 268,959,744,046.40/x
  3. Step 3: Cross multiply
    268,959,744,046.40x = 403,439,616,069.60 × 268,959,744,046.40
  4. Step 4: Simplify right side
    268,959,744,046.40x = 108,509,015,876,257,483,587,584
  5. Step 5: Solve for x
    x = 108,509,015,876,257,483,587,584/268,959,744,046.40
  6. Step 6: Final answer
    x = 403,439,616,069.60

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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.