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Finding the Fourth Proportional to 497,873,352.80, 746,810,029.20 and 268,290,840.80

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Solution

The fourth proportional to 497,873,352.80, 746,810,029.20 and 268,290,840.80 is: 402,436,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,873,352.80 : 746,810,029.20 = 268,290,840.80 : x
  2. Step 2: Convert to fraction form
    497,873,352.80/746,810,029.20 = 268,290,840.80/x
  3. Step 3: Cross multiply
    497,873,352.80x = 746,810,029.20 × 268,290,840.80
  4. Step 4: Simplify right side
    497,873,352.80x = 200,362,290,651,940,576
  5. Step 5: Solve for x
    x = 200,362,290,651,940,576/497,873,352.80
  6. Step 6: Final answer
    x = 402,436,261.20

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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.