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Finding the Fourth Proportional to 521,605,109.40, 782,407,664.10 and 521,605,109.40

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Solution

The fourth proportional to 521,605,109.40, 782,407,664.10 and 521,605,109.40 is: 782,407,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,605,109.40 : 782,407,664.10 = 521,605,109.40 : x
  2. Step 2: Convert to fraction form
    521,605,109.40/782,407,664.10 = 521,605,109.40/x
  3. Step 3: Cross multiply
    521,605,109.40x = 782,407,664.10 × 521,605,109.40
  4. Step 4: Simplify right side
    521,605,109.40x = 408,107,835,228,278,976
  5. Step 5: Solve for x
    x = 408,107,835,228,278,976/521,605,109.40
  6. Step 6: Final answer
    x = 782,407,664.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.