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Finding the Fourth Proportional to 289,700,748.25, 399,781,489.85 and 159,320,556.25

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Solution

The fourth proportional to 289,700,748.25, 399,781,489.85 and 159,320,556.25 is: 219,859,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,700,748.25 : 399,781,489.85 = 159,320,556.25 : x
  2. Step 2: Convert to fraction form
    289,700,748.25/399,781,489.85 = 159,320,556.25/x
  3. Step 3: Cross multiply
    289,700,748.25x = 399,781,489.85 × 159,320,556.25
  4. Step 4: Simplify right side
    289,700,748.25x = 63,693,409,340,157,128
  5. Step 5: Solve for x
    x = 63,693,409,340,157,128/289,700,748.25
  6. Step 6: Final answer
    x = 219,859,319.40

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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.