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Finding the Fourth Proportional to 661,907,134.70, 913,496,365.54 and 494,352,502.48

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Solution

The fourth proportional to 661,907,134.70, 913,496,365.54 and 494,352,502.48 is: 682,254,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,907,134.70 : 913,496,365.54 = 494,352,502.48 : x
  2. Step 2: Convert to fraction form
    661,907,134.70/913,496,365.54 = 494,352,502.48/x
  3. Step 3: Cross multiply
    661,907,134.70x = 913,496,365.54 × 494,352,502.48
  4. Step 4: Simplify right side
    661,907,134.70x = 451,589,214,311,083,840
  5. Step 5: Solve for x
    x = 451,589,214,311,083,840/661,907,134.70
  6. Step 6: Final answer
    x = 682,254,640.62

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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.