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Finding the Fourth Proportional to 1,023,650,905.04, 1,412,633,994.09 and 553,751,067.68

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Solution

The fourth proportional to 1,023,650,905.04, 1,412,633,994.09 and 553,751,067.68 is: 764,174,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,650,905.04 : 1,412,633,994.09 = 553,751,067.68 : x
  2. Step 2: Convert to fraction form
    1,023,650,905.04/1,412,633,994.09 = 553,751,067.68/x
  3. Step 3: Cross multiply
    1,023,650,905.04x = 1,412,633,994.09 × 553,751,067.68
  4. Step 4: Simplify right side
    1,023,650,905.04x = 782,247,582,468,400,128
  5. Step 5: Solve for x
    x = 782,247,582,468,400,128/1,023,650,905.04
  6. Step 6: Final answer
    x = 764,174,171.70

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Why These Related Problems?

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