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Finding the Fourth Proportional to 11,768,986,497,817, 17,653,479,746,726 and 11,768,986,497,817

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Solution

The fourth proportional to 11,768,986,497,817, 17,653,479,746,726 and 11,768,986,497,817 is: 17,653,479,746,726

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768,986,497,817 : 17,653,479,746,726 = 11,768,986,497,817 : x
  2. Step 2: Convert to fraction form
    11,768,986,497,817/17,653,479,746,726 = 11,768,986,497,817/x
  3. Step 3: Cross multiply
    11,768,986,497,817x = 17,653,479,746,726 × 11,768,986,497,817
  4. Step 4: Simplify right side
    11,768,986,497,817x = 207,763,564,778,704,163,085,221,888
  5. Step 5: Solve for x
    x = 207,763,564,778,704,163,085,221,888/11,768,986,497,817
  6. Step 6: Final answer
    x = 17,653,479,746,726

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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.