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Finding the Fourth Proportional to 680,293,224, 938,804,843.52 and 398,089,906.56

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Solution

The fourth proportional to 680,293,224, 938,804,843.52 and 398,089,906.56 is: 549,364,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,293,224 : 938,804,843.52 = 398,089,906.56 : x
  2. Step 2: Convert to fraction form
    680,293,224/938,804,843.52 = 398,089,906.56/x
  3. Step 3: Cross multiply
    680,293,224x = 938,804,843.52 × 398,089,906.56
  4. Step 4: Simplify right side
    680,293,224x = 373,728,732,434,952,192
  5. Step 5: Solve for x
    x = 373,728,732,434,952,192/680,293,224
  6. Step 6: Final answer
    x = 549,364,184.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.