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Finding the Fourth Proportional to 11,893,700,498,329, 16,413,307,476,978 and 6,620,035,933,657.80

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Solution

The fourth proportional to 11,893,700,498,329, 16,413,307,476,978 and 6,620,035,933,657.80 is: 9,135,650,027,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893,700,498,329 : 16,413,307,476,978 = 6,620,035,933,657.80 : x
  2. Step 2: Convert to fraction form
    11,893,700,498,329/16,413,307,476,978 = 6,620,035,933,657.80/x
  3. Step 3: Cross multiply
    11,893,700,498,329x = 16,413,307,476,978 × 6,620,035,933,657.80
  4. Step 4: Simplify right side
    11,893,700,498,329x = 108,656,685,287,768,592,868,179,968
  5. Step 5: Solve for x
    x = 108,656,685,287,768,592,868,179,968/11,893,700,498,329
  6. Step 6: Final answer
    x = 9,135,650,027,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.