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Finding the Fourth Proportional to 582,326,475,757.25, 873,489,713,635.95 and 582,326,475,757.25

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Solution

The fourth proportional to 582,326,475,757.25, 873,489,713,635.95 and 582,326,475,757.25 is: 873,489,713,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,326,475,757.25 : 873,489,713,635.95 = 582,326,475,757.25 : x
  2. Step 2: Convert to fraction form
    582,326,475,757.25/873,489,713,635.95 = 582,326,475,757.25/x
  3. Step 3: Cross multiply
    582,326,475,757.25x = 873,489,713,635.95 × 582,326,475,757.25
  4. Step 4: Simplify right side
    582,326,475,757.25x = 508,656,186,551,832,263,262,208
  5. Step 5: Solve for x
    x = 508,656,186,551,832,263,262,208/582,326,475,757.25
  6. Step 6: Final answer
    x = 873,489,713,635.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.