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Finding the Fourth Proportional to 66,843,468,135.70, 100,265,202,203.55 and 66,843,468,135.70

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Solution

The fourth proportional to 66,843,468,135.70, 100,265,202,203.55 and 66,843,468,135.70 is: 100,265,202,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843,468,135.70 : 100,265,202,203.55 = 66,843,468,135.70 : x
  2. Step 2: Convert to fraction form
    66,843,468,135.70/100,265,202,203.55 = 66,843,468,135.70/x
  3. Step 3: Cross multiply
    66,843,468,135.70x = 100,265,202,203.55 × 66,843,468,135.70
  4. Step 4: Simplify right side
    66,843,468,135.70x = 6,702,073,848,612,511,547,392
  5. Step 5: Solve for x
    x = 6,702,073,848,612,511,547,392/66,843,468,135.70
  6. Step 6: Final answer
    x = 100,265,202,203.55

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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.