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Finding the Fourth Proportional to 294,993,811.20, 442,112,803.20 and 262,493,241.60

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Solution

The fourth proportional to 294,993,811.20, 442,112,803.20 and 262,493,241.60 is: 393,403,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,993,811.20 : 442,112,803.20 = 262,493,241.60 : x
  2. Step 2: Convert to fraction form
    294,993,811.20/442,112,803.20 = 262,493,241.60/x
  3. Step 3: Cross multiply
    294,993,811.20x = 442,112,803.20 × 262,493,241.60
  4. Step 4: Simplify right side
    294,993,811.20x = 116,051,622,864,830,848
  5. Step 5: Solve for x
    x = 116,051,622,864,830,848/294,993,811.20
  6. Step 6: Final answer
    x = 393,403,584.95

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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.