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Finding the Fourth Proportional to 12,432,821,866.10, 18,649,232,799.15 and 12,432,821,866.10

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Solution

The fourth proportional to 12,432,821,866.10, 18,649,232,799.15 and 12,432,821,866.10 is: 18,649,232,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432,821,866.10 : 18,649,232,799.15 = 12,432,821,866.10 : x
  2. Step 2: Convert to fraction form
    12,432,821,866.10/18,649,232,799.15 = 12,432,821,866.10/x
  3. Step 3: Cross multiply
    12,432,821,866.10x = 18,649,232,799.15 × 12,432,821,866.10
  4. Step 4: Simplify right side
    12,432,821,866.10x = 231,862,589,331,261,456,384
  5. Step 5: Solve for x
    x = 231,862,589,331,261,456,384/12,432,821,866.10
  6. Step 6: Final answer
    x = 18,649,232,799.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.