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Finding the Fourth Proportional to 12,752,414,497,816, 19,128,621,746,726 and 12,752,414,497,816

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Solution

The fourth proportional to 12,752,414,497,816, 19,128,621,746,726 and 12,752,414,497,816 is: 19,128,621,746,726

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,816 : 19,128,621,746,726 = 12,752,414,497,816 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,816/19,128,621,746,726 = 12,752,414,497,816/x
  3. Step 3: Cross multiply
    12,752,414,497,816x = 19,128,621,746,726 × 12,752,414,497,816
  4. Step 4: Simplify right side
    12,752,414,497,816x = 243,936,113,286,187,059,702,136,832
  5. Step 5: Solve for x
    x = 243,936,113,286,187,059,702,136,832/12,752,414,497,816
  6. Step 6: Final answer
    x = 19,128,621,746,726

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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.