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Finding the Fourth Proportional to 135,275,307.60, 202,912,961.40 and 135,275,307.60

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Solution

The fourth proportional to 135,275,307.60, 202,912,961.40 and 135,275,307.60 is: 202,912,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,275,307.60 : 202,912,961.40 = 135,275,307.60 : x
  2. Step 2: Convert to fraction form
    135,275,307.60/202,912,961.40 = 135,275,307.60/x
  3. Step 3: Cross multiply
    135,275,307.60x = 202,912,961.40 × 135,275,307.60
  4. Step 4: Simplify right side
    135,275,307.60x = 27,449,113,269,411,928
  5. Step 5: Solve for x
    x = 27,449,113,269,411,928/135,275,307.60
  6. Step 6: Final answer
    x = 202,912,961.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.