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Finding the Fourth Proportional to 12,196,899,424.80, 18,260,911,760.40 and 12,196,899,424.80

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Solution

The fourth proportional to 12,196,899,424.80, 18,260,911,760.40 and 12,196,899,424.80 is: 18,260,911,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196,899,424.80 : 18,260,911,760.40 = 12,196,899,424.80 : x
  2. Step 2: Convert to fraction form
    12,196,899,424.80/18,260,911,760.40 = 12,196,899,424.80/x
  3. Step 3: Cross multiply
    12,196,899,424.80x = 18,260,911,760.40 × 12,196,899,424.80
  4. Step 4: Simplify right side
    12,196,899,424.80x = 222,726,504,146,746,310,656
  5. Step 5: Solve for x
    x = 222,726,504,146,746,310,656/12,196,899,424.80
  6. Step 6: Final answer
    x = 18,260,911,760.40

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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.