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Finding the Fourth Proportional to 797,162,978.70, 1,195,744,468.05 and 507,315,057.30

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Solution

The fourth proportional to 797,162,978.70, 1,195,744,468.05 and 507,315,057.30 is: 760,972,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,162,978.70 : 1,195,744,468.05 = 507,315,057.30 : x
  2. Step 2: Convert to fraction form
    797,162,978.70/1,195,744,468.05 = 507,315,057.30/x
  3. Step 3: Cross multiply
    797,162,978.70x = 1,195,744,468.05 × 507,315,057.30
  4. Step 4: Simplify right side
    797,162,978.70x = 606,619,173,324,943,744
  5. Step 5: Solve for x
    x = 606,619,173,324,943,744/797,162,978.70
  6. Step 6: Final answer
    x = 760,972,585.95

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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.