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Finding the Fourth Proportional to 577,369,709.20, 866,054,563.80 and 543,357,485.20

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Solution

The fourth proportional to 577,369,709.20, 866,054,563.80 and 543,357,485.20 is: 815,036,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,369,709.20 : 866,054,563.80 = 543,357,485.20 : x
  2. Step 2: Convert to fraction form
    577,369,709.20/866,054,563.80 = 543,357,485.20/x
  3. Step 3: Cross multiply
    577,369,709.20x = 866,054,563.80 × 543,357,485.20
  4. Step 4: Simplify right side
    577,369,709.20x = 470,577,229,832,350,976
  5. Step 5: Solve for x
    x = 470,577,229,832,350,976/577,369,709.20
  6. Step 6: Final answer
    x = 815,036,227.80

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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.