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Finding the Fourth Proportional to 11,967,264,518.40, 16,781,720,227.20 and 11,967,264,518.40

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Solution

The fourth proportional to 11,967,264,518.40, 16,781,720,227.20 and 11,967,264,518.40 is: 16,781,720,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967,264,518.40 : 16,781,720,227.20 = 11,967,264,518.40 : x
  2. Step 2: Convert to fraction form
    11,967,264,518.40/16,781,720,227.20 = 11,967,264,518.40/x
  3. Step 3: Cross multiply
    11,967,264,518.40x = 16,781,720,227.20 × 11,967,264,518.40
  4. Step 4: Simplify right side
    11,967,264,518.40x = 200,831,285,032,686,157,824
  5. Step 5: Solve for x
    x = 200,831,285,032,686,157,824/11,967,264,518.40
  6. Step 6: Final answer
    x = 16,781,720,227.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.