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Finding the Fourth Proportional to 212,582,712.30, 318,370,183.65 and 212,582,712.30

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Solution

The fourth proportional to 212,582,712.30, 318,370,183.65 and 212,582,712.30 is: 318,370,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,582,712.30 : 318,370,183.65 = 212,582,712.30 : x
  2. Step 2: Convert to fraction form
    212,582,712.30/318,370,183.65 = 212,582,712.30/x
  3. Step 3: Cross multiply
    212,582,712.30x = 318,370,183.65 × 212,582,712.30
  4. Step 4: Simplify right side
    212,582,712.30x = 67,679,997,155,766,112
  5. Step 5: Solve for x
    x = 67,679,997,155,766,112/212,582,712.30
  6. Step 6: Final answer
    x = 318,370,183.65

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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.