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Finding the Fourth Proportional to 209,287,188.63, 288,843,822.33 and 120,014,068.71

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Solution

The fourth proportional to 209,287,188.63, 288,843,822.33 and 120,014,068.71 is: 165,635,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287,188.63 : 288,843,822.33 = 120,014,068.71 : x
  2. Step 2: Convert to fraction form
    209,287,188.63/288,843,822.33 = 120,014,068.71/x
  3. Step 3: Cross multiply
    209,287,188.63x = 288,843,822.33 × 120,014,068.71
  4. Step 4: Simplify right side
    209,287,188.63x = 34,665,322,339,571,648
  5. Step 5: Solve for x
    x = 34,665,322,339,571,648/209,287,188.63
  6. Step 6: Final answer
    x = 165,635,185.63

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