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Finding the Fourth Proportional to 550,468,642.60, 825,702,963.90 and 305,580,629.80

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Solution

The fourth proportional to 550,468,642.60, 825,702,963.90 and 305,580,629.80 is: 458,370,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,468,642.60 : 825,702,963.90 = 305,580,629.80 : x
  2. Step 2: Convert to fraction form
    550,468,642.60/825,702,963.90 = 305,580,629.80/x
  3. Step 3: Cross multiply
    550,468,642.60x = 825,702,963.90 × 305,580,629.80
  4. Step 4: Simplify right side
    550,468,642.60x = 252,318,831,736,288,672
  5. Step 5: Solve for x
    x = 252,318,831,736,288,672/550,468,642.60
  6. Step 6: Final answer
    x = 458,370,944.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.