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Finding the Fourth Proportional to 16,151,616,214.40, 22,644,914,435.20 and 16,151,616,214.40

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Solution

The fourth proportional to 16,151,616,214.40, 22,644,914,435.20 and 16,151,616,214.40 is: 22,644,914,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151,616,214.40 : 22,644,914,435.20 = 16,151,616,214.40 : x
  2. Step 2: Convert to fraction form
    16,151,616,214.40/22,644,914,435.20 = 16,151,616,214.40/x
  3. Step 3: Cross multiply
    16,151,616,214.40x = 22,644,914,435.20 × 16,151,616,214.40
  4. Step 4: Simplify right side
    16,151,616,214.40x = 365,751,967,165,276,946,432
  5. Step 5: Solve for x
    x = 365,751,967,165,276,946,432/16,151,616,214.40
  6. Step 6: Final answer
    x = 22,644,914,435.20

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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.