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Finding the Fourth Proportional to 12,752,414,496,952, 19,128,621,745,427 and 12,752,414,496,952

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Solution

The fourth proportional to 12,752,414,496,952, 19,128,621,745,427 and 12,752,414,496,952 is: 19,128,621,745,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,952 : 19,128,621,745,427 = 12,752,414,496,952 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,952/19,128,621,745,427 = 12,752,414,496,952/x
  3. Step 3: Cross multiply
    12,752,414,496,952x = 19,128,621,745,427 × 12,752,414,496,952
  4. Step 4: Simplify right side
    12,752,414,496,952x = 243,936,113,253,094,542,844,887,040
  5. Step 5: Solve for x
    x = 243,936,113,253,094,542,844,887,040/12,752,414,496,952
  6. Step 6: Final answer
    x = 19,128,621,745,427

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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.