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Finding the Fourth Proportional to 601,188,538.20, 901,782,807.30 and 601,188,538.20

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Solution

The fourth proportional to 601,188,538.20, 901,782,807.30 and 601,188,538.20 is: 901,782,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,188,538.20 : 901,782,807.30 = 601,188,538.20 : x
  2. Step 2: Convert to fraction form
    601,188,538.20/901,782,807.30 = 601,188,538.20/x
  3. Step 3: Cross multiply
    601,188,538.20x = 901,782,807.30 × 601,188,538.20
  4. Step 4: Simplify right side
    601,188,538.20x = 542,141,487,694,579,328
  5. Step 5: Solve for x
    x = 542,141,487,694,579,328/601,188,538.20
  6. Step 6: Final answer
    x = 901,782,807.30

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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.