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Finding the Fourth Proportional to 702,766,258,567, 969,749,670,542.55 and 394,130,147,342.22

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Solution

The fourth proportional to 702,766,258,567, 969,749,670,542.55 and 394,130,147,342.22 is: 543,861,598,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,766,258,567 : 969,749,670,542.55 = 394,130,147,342.22 : x
  2. Step 2: Convert to fraction form
    702,766,258,567/969,749,670,542.55 = 394,130,147,342.22/x
  3. Step 3: Cross multiply
    702,766,258,567x = 969,749,670,542.55 × 394,130,147,342.22
  4. Step 4: Simplify right side
    702,766,258,567x = 382,207,580,536,004,497,375,232
  5. Step 5: Solve for x
    x = 382,207,580,536,004,497,375,232/702,766,258,567
  6. Step 6: Final answer
    x = 543,861,598,186.80

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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.