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Finding the Fourth Proportional to 298,104,102.73, 411,363,842.32 and 165,941,701.18

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Solution

The fourth proportional to 298,104,102.73, 411,363,842.32 and 165,941,701.18 is: 228,988,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,104,102.73 : 411,363,842.32 = 165,941,701.18 : x
  2. Step 2: Convert to fraction form
    298,104,102.73/411,363,842.32 = 165,941,701.18/x
  3. Step 3: Cross multiply
    298,104,102.73x = 411,363,842.32 × 165,941,701.18
  4. Step 4: Simplify right side
    298,104,102.73x = 68,262,415,797,701,104
  5. Step 5: Solve for x
    x = 68,262,415,797,701,104/298,104,102.73
  6. Step 6: Final answer
    x = 228,988,514.99

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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.