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Finding the Fourth Proportional to 6,970,520,003.20, 9,765,983,945.60 and 6,970,520,003.20

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Solution

The fourth proportional to 6,970,520,003.20, 9,765,983,945.60 and 6,970,520,003.20 is: 9,765,983,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,520,003.20 : 9,765,983,945.60 = 6,970,520,003.20 : x
  2. Step 2: Convert to fraction form
    6,970,520,003.20/9,765,983,945.60 = 6,970,520,003.20/x
  3. Step 3: Cross multiply
    6,970,520,003.20x = 9,765,983,945.60 × 6,970,520,003.20
  4. Step 4: Simplify right side
    6,970,520,003.20x = 68,073,986,443,734,859,776
  5. Step 5: Solve for x
    x = 68,073,986,443,734,859,776/6,970,520,003.20
  6. Step 6: Final answer
    x = 9,765,983,945.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.