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Finding the Fourth Proportional to 12,752,414,496,735, 19,128,621,745,102 and 12,752,414,496,735

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Solution

The fourth proportional to 12,752,414,496,735, 19,128,621,745,102 and 12,752,414,496,735 is: 19,128,621,745,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,735 : 19,128,621,745,102 = 12,752,414,496,735 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,735/19,128,621,745,102 = 12,752,414,496,735/x
  3. Step 3: Cross multiply
    12,752,414,496,735x = 19,128,621,745,102 × 12,752,414,496,735
  4. Step 4: Simplify right side
    12,752,414,496,735x = 243,936,113,244,799,105,570,439,168
  5. Step 5: Solve for x
    x = 243,936,113,244,799,105,570,439,168/12,752,414,496,735
  6. Step 6: Final answer
    x = 19,128,621,745,102

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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.