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Finding the Fourth Proportional to 576,574,848,844.20, 864,862,273,266.30 and 576,574,848,844.20

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Solution

The fourth proportional to 576,574,848,844.20, 864,862,273,266.30 and 576,574,848,844.20 is: 864,862,273,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,574,848,844.20 : 864,862,273,266.30 = 576,574,848,844.20 : x
  2. Step 2: Convert to fraction form
    576,574,848,844.20/864,862,273,266.30 = 576,574,848,844.20/x
  3. Step 3: Cross multiply
    576,574,848,844.20x = 864,862,273,266.30 × 576,574,848,844.20
  4. Step 4: Simplify right side
    576,574,848,844.20x = 498,657,834,479,568,103,145,472
  5. Step 5: Solve for x
    x = 498,657,834,479,568,103,145,472/576,574,848,844.20
  6. Step 6: Final answer
    x = 864,862,273,266.30

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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.