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Finding the Fourth Proportional to 257,995,277.20, 362,213,754.80 and 257,995,277.20

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Solution

The fourth proportional to 257,995,277.20, 362,213,754.80 and 257,995,277.20 is: 362,213,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,995,277.20 : 362,213,754.80 = 257,995,277.20 : x
  2. Step 2: Convert to fraction form
    257,995,277.20/362,213,754.80 = 257,995,277.20/x
  3. Step 3: Cross multiply
    257,995,277.20x = 362,213,754.80 × 257,995,277.20
  4. Step 4: Simplify right side
    257,995,277.20x = 93,449,438,075,278,832
  5. Step 5: Solve for x
    x = 93,449,438,075,278,832/257,995,277.20
  6. Step 6: Final answer
    x = 362,213,754.80

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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.