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Finding the Fourth Proportional to 108,972,093,960.20, 163,458,140,940.30 and 108,972,093,960.20

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Solution

The fourth proportional to 108,972,093,960.20, 163,458,140,940.30 and 108,972,093,960.20 is: 163,458,140,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972,093,960.20 : 163,458,140,940.30 = 108,972,093,960.20 : x
  2. Step 2: Convert to fraction form
    108,972,093,960.20/163,458,140,940.30 = 108,972,093,960.20/x
  3. Step 3: Cross multiply
    108,972,093,960.20x = 163,458,140,940.30 × 108,972,093,960.20
  4. Step 4: Simplify right side
    108,972,093,960.20x = 17,812,375,893,105,983,881,216
  5. Step 5: Solve for x
    x = 17,812,375,893,105,983,881,216/108,972,093,960.20
  6. Step 6: Final answer
    x = 163,458,140,940.30

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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.