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Finding the Fourth Proportional to 605,367,009.20, 906,615,623.10 and 605,367,009.20

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Solution

The fourth proportional to 605,367,009.20, 906,615,623.10 and 605,367,009.20 is: 906,615,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,367,009.20 : 906,615,623.10 = 605,367,009.20 : x
  2. Step 2: Convert to fraction form
    605,367,009.20/906,615,623.10 = 605,367,009.20/x
  3. Step 3: Cross multiply
    605,367,009.20x = 906,615,623.10 × 605,367,009.20
  4. Step 4: Simplify right side
    605,367,009.20x = 548,835,188,250,041,472
  5. Step 5: Solve for x
    x = 548,835,188,250,041,472/605,367,009.20
  6. Step 6: Final answer
    x = 906,615,623.10

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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.