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Finding the Fourth Proportional to 12,752,414,497,769, 19,128,621,746,653 and 12,752,414,497,769

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Solution

The fourth proportional to 12,752,414,497,769, 19,128,621,746,653 and 12,752,414,497,769 is: 19,128,621,746,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,769 : 19,128,621,746,653 = 12,752,414,497,769 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,769/19,128,621,746,653 = 12,752,414,497,769/x
  3. Step 3: Cross multiply
    12,752,414,497,769x = 19,128,621,746,653 × 12,752,414,497,769
  4. Step 4: Simplify right side
    12,752,414,497,769x = 243,936,113,284,357,094,396,395,520
  5. Step 5: Solve for x
    x = 243,936,113,284,357,094,396,395,520/12,752,414,497,769
  6. Step 6: Final answer
    x = 19,128,621,746,653

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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.