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Finding the Fourth Proportional to 12,752,414,497,763, 19,128,621,746,645 and 12,752,414,497,763

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Solution

The fourth proportional to 12,752,414,497,763, 19,128,621,746,645 and 12,752,414,497,763 is: 19,128,621,746,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,763 : 19,128,621,746,645 = 12,752,414,497,763 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,763/19,128,621,746,645 = 12,752,414,497,763/x
  3. Step 3: Cross multiply
    12,752,414,497,763x = 19,128,621,746,645 × 12,752,414,497,763
  4. Step 4: Simplify right side
    12,752,414,497,763x = 243,936,113,284,140,284,447,293,440
  5. Step 5: Solve for x
    x = 243,936,113,284,140,284,447,293,440/12,752,414,497,763
  6. Step 6: Final answer
    x = 19,128,621,746,645

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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.