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Finding the Fourth Proportional to 472,393,477.80, 708,590,216.70 and 422,650,600.20

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Solution

The fourth proportional to 472,393,477.80, 708,590,216.70 and 422,650,600.20 is: 633,975,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,477.80 : 708,590,216.70 = 422,650,600.20 : x
  2. Step 2: Convert to fraction form
    472,393,477.80/708,590,216.70 = 422,650,600.20/x
  3. Step 3: Cross multiply
    472,393,477.80x = 708,590,216.70 × 422,650,600.20
  4. Step 4: Simplify right side
    472,393,477.80x = 299,486,080,384,103,104
  5. Step 5: Solve for x
    x = 299,486,080,384,103,104/472,393,477.80
  6. Step 6: Final answer
    x = 633,975,900.30

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1.5x scale

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.