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Finding the Fourth Proportional to 325,873,305.60, 488,809,958.40 and 283,783,178.40

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Solution

The fourth proportional to 325,873,305.60, 488,809,958.40 and 283,783,178.40 is: 425,674,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,873,305.60 : 488,809,958.40 = 283,783,178.40 : x
  2. Step 2: Convert to fraction form
    325,873,305.60/488,809,958.40 = 283,783,178.40/x
  3. Step 3: Cross multiply
    325,873,305.60x = 488,809,958.40 × 283,783,178.40
  4. Step 4: Simplify right side
    325,873,305.60x = 138,716,043,628,323,760
  5. Step 5: Solve for x
    x = 138,716,043,628,323,760/325,873,305.60
  6. Step 6: Final answer
    x = 425,674,767.60

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Why These Related Problems?

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