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Finding the Fourth Proportional to 560,002,924.20, 782,190,108.60 and 560,002,924.20

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Solution

The fourth proportional to 560,002,924.20, 782,190,108.60 and 560,002,924.20 is: 782,190,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,002,924.20 : 782,190,108.60 = 560,002,924.20 : x
  2. Step 2: Convert to fraction form
    560,002,924.20/782,190,108.60 = 560,002,924.20/x
  3. Step 3: Cross multiply
    560,002,924.20x = 782,190,108.60 × 560,002,924.20
  4. Step 4: Simplify right side
    560,002,924.20x = 438,028,748,096,315,648
  5. Step 5: Solve for x
    x = 438,028,748,096,315,648/560,002,924.20
  6. Step 6: Final answer
    x = 782,190,108.60

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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.