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Finding the Fourth Proportional to 201,020,797.20, 280,855,159.80 and 201,020,797.20

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Solution

The fourth proportional to 201,020,797.20, 280,855,159.80 and 201,020,797.20 is: 280,855,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,020,797.20 : 280,855,159.80 = 201,020,797.20 : x
  2. Step 2: Convert to fraction form
    201,020,797.20/280,855,159.80 = 201,020,797.20/x
  3. Step 3: Cross multiply
    201,020,797.20x = 280,855,159.80 × 201,020,797.20
  4. Step 4: Simplify right side
    201,020,797.20x = 56,457,728,120,729,392
  5. Step 5: Solve for x
    x = 56,457,728,120,729,392/201,020,797.20
  6. Step 6: Final answer
    x = 280,855,159.80

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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.