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Finding the Fourth Proportional to 576,574,848,610.20, 864,862,272,915.30 and 576,574,848,610.20

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Solution

The fourth proportional to 576,574,848,610.20, 864,862,272,915.30 and 576,574,848,610.20 is: 864,862,272,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,574,848,610.20 : 864,862,272,915.30 = 576,574,848,610.20 : x
  2. Step 2: Convert to fraction form
    576,574,848,610.20/864,862,272,915.30 = 576,574,848,610.20/x
  3. Step 3: Cross multiply
    576,574,848,610.20x = 864,862,272,915.30 × 576,574,848,610.20
  4. Step 4: Simplify right side
    576,574,848,610.20x = 498,657,834,074,812,532,654,080
  5. Step 5: Solve for x
    x = 498,657,834,074,812,532,654,080/576,574,848,610.20
  6. Step 6: Final answer
    x = 864,862,272,915.30

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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.