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Finding the Fourth Proportional to 472,392,704.20, 708,589,056.30 and 472,392,704.20

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Solution

The fourth proportional to 472,392,704.20, 708,589,056.30 and 472,392,704.20 is: 708,589,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,704.20 : 708,589,056.30 = 472,392,704.20 : x
  2. Step 2: Convert to fraction form
    472,392,704.20/708,589,056.30 = 472,392,704.20/x
  3. Step 3: Cross multiply
    472,392,704.20x = 708,589,056.30 × 472,392,704.20
  4. Step 4: Simplify right side
    472,392,704.20x = 334,732,300,472,083,008
  5. Step 5: Solve for x
    x = 334,732,300,472,083,008/472,392,704.20
  6. Step 6: Final answer
    x = 708,589,056.30

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Similar ratio
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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.