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Finding the Fourth Proportional to 12,877,083,083.70, 19,315,624,625.55 and 12,877,083,083.70

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Solution

The fourth proportional to 12,877,083,083.70, 19,315,624,625.55 and 12,877,083,083.70 is: 19,315,624,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,083,083.70 : 19,315,624,625.55 = 12,877,083,083.70 : x
  2. Step 2: Convert to fraction form
    12,877,083,083.70/19,315,624,625.55 = 12,877,083,083.70/x
  3. Step 3: Cross multiply
    12,877,083,083.70x = 19,315,624,625.55 × 12,877,083,083.70
  4. Step 4: Simplify right side
    12,877,083,083.70x = 248,728,903,116,769,067,008
  5. Step 5: Solve for x
    x = 248,728,903,116,769,067,008/12,877,083,083.70
  6. Step 6: Final answer
    x = 19,315,624,625.55

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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.