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Finding the Fourth Proportional to 395,722,934,440.40, 593,584,401,660.60 and 395,722,934,440.40

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Solution

The fourth proportional to 395,722,934,440.40, 593,584,401,660.60 and 395,722,934,440.40 is: 593,584,401,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,722,934,440.40 : 593,584,401,660.60 = 395,722,934,440.40 : x
  2. Step 2: Convert to fraction form
    395,722,934,440.40/593,584,401,660.60 = 395,722,934,440.40/x
  3. Step 3: Cross multiply
    395,722,934,440.40x = 593,584,401,660.60 × 395,722,934,440.40
  4. Step 4: Simplify right side
    395,722,934,440.40x = 234,894,961,263,181,693,976,576
  5. Step 5: Solve for x
    x = 234,894,961,263,181,693,976,576/395,722,934,440.40
  6. Step 6: Final answer
    x = 593,584,401,660.60

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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.