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Finding the Fourth Proportional to 702,535,236.30, 969,499,765.54 and 384,945,015.06

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Solution

The fourth proportional to 702,535,236.30, 969,499,765.54 and 384,945,015.06 is: 531,224,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,535,236.30 : 969,499,765.54 = 384,945,015.06 : x
  2. Step 2: Convert to fraction form
    702,535,236.30/969,499,765.54 = 384,945,015.06/x
  3. Step 3: Cross multiply
    702,535,236.30x = 969,499,765.54 × 384,945,015.06
  4. Step 4: Simplify right side
    702,535,236.30x = 373,204,101,846,461,760
  5. Step 5: Solve for x
    x = 373,204,101,846,461,760/702,535,236.30
  6. Step 6: Final answer
    x = 531,224,745.13

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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.