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Finding the Fourth Proportional to 1,333,027,027.42, 1,840,813,843.61 and 997,917,768.68

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Solution

The fourth proportional to 1,333,027,027.42, 1,840,813,843.61 and 997,917,768.68 is: 1,378,052,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,027,027.42 : 1,840,813,843.61 = 997,917,768.68 : x
  2. Step 2: Convert to fraction form
    1,333,027,027.42/1,840,813,843.61 = 997,917,768.68/x
  3. Step 3: Cross multiply
    1,333,027,027.42x = 1,840,813,843.61 × 997,917,768.68
  4. Step 4: Simplify right side
    1,333,027,027.42x = 1,836,980,843,363,836,160
  5. Step 5: Solve for x
    x = 1,836,980,843,363,836,160/1,333,027,027.42
  6. Step 6: Final answer
    x = 1,378,052,211.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.