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Finding the Fourth Proportional to 12,566,952,112,543, 18,850,428,168,815 and 12,566,952,112,543

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Solution

The fourth proportional to 12,566,952,112,543, 18,850,428,168,815 and 12,566,952,112,543 is: 18,850,428,168,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566,952,112,543 : 18,850,428,168,815 = 12,566,952,112,543 : x
  2. Step 2: Convert to fraction form
    12,566,952,112,543/18,850,428,168,815 = 12,566,952,112,543/x
  3. Step 3: Cross multiply
    12,566,952,112,543x = 18,850,428,168,815 × 12,566,952,112,543
  4. Step 4: Simplify right side
    12,566,952,112,543x = 236,892,428,098,429,724,083,093,504
  5. Step 5: Solve for x
    x = 236,892,428,098,429,724,083,093,504/12,566,952,112,543
  6. Step 6: Final answer
    x = 18,850,428,168,815

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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.