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Finding the Fourth Proportional to 274,906,933.40, 412,360,400.10 and 274,906,933.40

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Solution

The fourth proportional to 274,906,933.40, 412,360,400.10 and 274,906,933.40 is: 412,360,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,906,933.40 : 412,360,400.10 = 274,906,933.40 : x
  2. Step 2: Convert to fraction form
    274,906,933.40/412,360,400.10 = 274,906,933.40/x
  3. Step 3: Cross multiply
    274,906,933.40x = 412,360,400.10 × 274,906,933.40
  4. Step 4: Simplify right side
    274,906,933.40x = 113,360,733,047,088,048
  5. Step 5: Solve for x
    x = 113,360,733,047,088,048/274,906,933.40
  6. Step 6: Final answer
    x = 412,360,400.10

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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.