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Finding the Fourth Proportional to 12,752,414,495,812, 19,128,621,743,717 and 12,752,414,495,812

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Solution

The fourth proportional to 12,752,414,495,812, 19,128,621,743,717 and 12,752,414,495,812 is: 19,128,621,743,717

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,495,812 : 19,128,621,743,717 = 12,752,414,495,812 : x
  2. Step 2: Convert to fraction form
    12,752,414,495,812/19,128,621,743,717 = 12,752,414,495,812/x
  3. Step 3: Cross multiply
    12,752,414,495,812x = 19,128,621,743,717 × 12,752,414,495,812
  4. Step 4: Simplify right side
    12,752,414,495,812x = 243,936,113,209,481,280,257,785,856
  5. Step 5: Solve for x
    x = 243,936,113,209,481,280,257,785,856/12,752,414,495,812
  6. Step 6: Final answer
    x = 19,128,621,743,717

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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.