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Finding the Fourth Proportional to 272,097,804,625.30, 408,146,706,937.95 and 272,097,804,625.30

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Solution

The fourth proportional to 272,097,804,625.30, 408,146,706,937.95 and 272,097,804,625.30 is: 408,146,706,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097,804,625.30 : 408,146,706,937.95 = 272,097,804,625.30 : x
  2. Step 2: Convert to fraction form
    272,097,804,625.30/408,146,706,937.95 = 272,097,804,625.30/x
  3. Step 3: Cross multiply
    272,097,804,625.30x = 408,146,706,937.95 × 272,097,804,625.30
  4. Step 4: Simplify right side
    272,097,804,625.30x = 111,055,822,922,861,900,726,272
  5. Step 5: Solve for x
    x = 111,055,822,922,861,900,726,272/272,097,804,625.30
  6. Step 6: Final answer
    x = 408,146,706,937.95

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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.