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Finding the Fourth Proportional to 565,589,570.54, 780,501,373.80 and 327,444,797.71

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Solution

The fourth proportional to 565,589,570.54, 780,501,373.80 and 327,444,797.71 is: 451,866,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,589,570.54 : 780,501,373.80 = 327,444,797.71 : x
  2. Step 2: Convert to fraction form
    565,589,570.54/780,501,373.80 = 327,444,797.71/x
  3. Step 3: Cross multiply
    565,589,570.54x = 780,501,373.80 × 327,444,797.71
  4. Step 4: Simplify right side
    565,589,570.54x = 255,571,114,454,366,816
  5. Step 5: Solve for x
    x = 255,571,114,454,366,816/565,589,570.54
  6. Step 6: Final answer
    x = 451,866,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.