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Finding the Fourth Proportional to 393,984,009.90, 590,976,014.85 and 393,984,009.90

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Solution

The fourth proportional to 393,984,009.90, 590,976,014.85 and 393,984,009.90 is: 590,976,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984,009.90 : 590,976,014.85 = 393,984,009.90 : x
  2. Step 2: Convert to fraction form
    393,984,009.90/590,976,014.85 = 393,984,009.90/x
  3. Step 3: Cross multiply
    393,984,009.90x = 590,976,014.85 × 393,984,009.90
  4. Step 4: Simplify right side
    393,984,009.90x = 232,835,100,085,324,928
  5. Step 5: Solve for x
    x = 232,835,100,085,324,928/393,984,009.90
  6. Step 6: Final answer
    x = 590,976,014.85

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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.