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Finding the Fourth Proportional to 8,305,296.40, 12,457,944.60 and 5,100,029.20

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Solution

The fourth proportional to 8,305,296.40, 12,457,944.60 and 5,100,029.20 is: 7,650,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305,296.40 : 12,457,944.60 = 5,100,029.20 : x
  2. Step 2: Convert to fraction form
    8,305,296.40/12,457,944.60 = 5,100,029.20/x
  3. Step 3: Cross multiply
    8,305,296.40x = 12,457,944.60 × 5,100,029.20
  4. Step 4: Simplify right side
    8,305,296.40x = 63,535,881,231,982.32
  5. Step 5: Solve for x
    x = 63,535,881,231,982.32/8,305,296.40
  6. Step 6: Final answer
    x = 7,650,043.80

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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.