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Finding the Fourth Proportional to 78,484,464,002.15, 117,726,696,003.23 and 78,484,464,002.15

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Solution

The fourth proportional to 78,484,464,002.15, 117,726,696,003.23 and 78,484,464,002.15 is: 117,726,696,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484,464,002.15 : 117,726,696,003.23 = 78,484,464,002.15 : x
  2. Step 2: Convert to fraction form
    78,484,464,002.15/117,726,696,003.23 = 78,484,464,002.15/x
  3. Step 3: Cross multiply
    78,484,464,002.15x = 117,726,696,003.23 × 78,484,464,002.15
  4. Step 4: Simplify right side
    78,484,464,002.15x = 9,239,716,634,557,560,127,488
  5. Step 5: Solve for x
    x = 9,239,716,634,557,560,127,488/78,484,464,002.15
  6. Step 6: Final answer
    x = 117,726,696,003.23

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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.