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Finding the Fourth Proportional to 682,914,584.59, 942,028,756.92 and 411,145,873.45

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Solution

The fourth proportional to 682,914,584.59, 942,028,756.92 and 411,145,873.45 is: 567,144,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,914,584.59 : 942,028,756.92 = 411,145,873.45 : x
  2. Step 2: Convert to fraction form
    682,914,584.59/942,028,756.92 = 411,145,873.45/x
  3. Step 3: Cross multiply
    682,914,584.59x = 942,028,756.92 × 411,145,873.45
  4. Step 4: Simplify right side
    682,914,584.59x = 387,311,236,076,536,064
  5. Step 5: Solve for x
    x = 387,311,236,076,536,064/682,914,584.59
  6. Step 6: Final answer
    x = 567,144,478.71

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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.