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Finding the Fourth Proportional to 524,880,334.80, 787,320,502.20 and 494,647,246.80

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Solution

The fourth proportional to 524,880,334.80, 787,320,502.20 and 494,647,246.80 is: 741,970,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880,334.80 : 787,320,502.20 = 494,647,246.80 : x
  2. Step 2: Convert to fraction form
    524,880,334.80/787,320,502.20 = 494,647,246.80/x
  3. Step 3: Cross multiply
    524,880,334.80x = 787,320,502.20 × 494,647,246.80
  4. Step 4: Simplify right side
    524,880,334.80x = 389,445,918,762,423,360
  5. Step 5: Solve for x
    x = 389,445,918,762,423,360/524,880,334.80
  6. Step 6: Final answer
    x = 741,970,870.20

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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.