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Finding the Fourth Proportional to 1,840,439,232,012, 2,760,658,848,017.80 and 1,840,439,232,012

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Solution

The fourth proportional to 1,840,439,232,012, 2,760,658,848,017.80 and 1,840,439,232,012 is: 2,760,658,848,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,439,232,012 : 2,760,658,848,017.80 = 1,840,439,232,012 : x
  2. Step 2: Convert to fraction form
    1,840,439,232,012/2,760,658,848,017.80 = 1,840,439,232,012/x
  3. Step 3: Cross multiply
    1,840,439,232,012x = 2,760,658,848,017.80 × 1,840,439,232,012
  4. Step 4: Simplify right side
    1,840,439,232,012x = 5,080,824,850,093,012,416,462,848
  5. Step 5: Solve for x
    x = 5,080,824,850,093,012,416,462,848/1,840,439,232,012
  6. Step 6: Final answer
    x = 2,760,658,848,017.80

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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.