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Finding the Fourth Proportional to 521,522,872,642.20, 782,284,308,963.30 and 521,522,872,642.20

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Solution

The fourth proportional to 521,522,872,642.20, 782,284,308,963.30 and 521,522,872,642.20 is: 782,284,308,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,872,642.20 : 782,284,308,963.30 = 521,522,872,642.20 : x
  2. Step 2: Convert to fraction form
    521,522,872,642.20/782,284,308,963.30 = 521,522,872,642.20/x
  3. Step 3: Cross multiply
    521,522,872,642.20x = 782,284,308,963.30 × 521,522,872,642.20
  4. Step 4: Simplify right side
    521,522,872,642.20x = 407,979,160,033,458,602,901,504
  5. Step 5: Solve for x
    x = 407,979,160,033,458,602,901,504/521,522,872,642.20
  6. Step 6: Final answer
    x = 782,284,308,963.30

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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.