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Finding the Fourth Proportional to 521,522,846,152.20, 782,284,269,228.30 and 521,522,846,152.20

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Solution

The fourth proportional to 521,522,846,152.20, 782,284,269,228.30 and 521,522,846,152.20 is: 782,284,269,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,846,152.20 : 782,284,269,228.30 = 521,522,846,152.20 : x
  2. Step 2: Convert to fraction form
    521,522,846,152.20/782,284,269,228.30 = 521,522,846,152.20/x
  3. Step 3: Cross multiply
    521,522,846,152.20x = 782,284,269,228.30 × 521,522,846,152.20
  4. Step 4: Simplify right side
    521,522,846,152.20x = 407,979,118,588,036,936,368,128
  5. Step 5: Solve for x
    x = 407,979,118,588,036,936,368,128/521,522,846,152.20
  6. Step 6: Final answer
    x = 782,284,269,228.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.