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Finding the Fourth Proportional to 422,032,137.60, 633,048,206.40 and 422,032,137.60

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Solution

The fourth proportional to 422,032,137.60, 633,048,206.40 and 422,032,137.60 is: 633,048,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,032,137.60 : 633,048,206.40 = 422,032,137.60 : x
  2. Step 2: Convert to fraction form
    422,032,137.60/633,048,206.40 = 422,032,137.60/x
  3. Step 3: Cross multiply
    422,032,137.60x = 633,048,206.40 × 422,032,137.60
  4. Step 4: Simplify right side
    422,032,137.60x = 267,166,687,750,838,016
  5. Step 5: Solve for x
    x = 267,166,687,750,838,016/422,032,137.60
  6. Step 6: Final answer
    x = 633,048,206.40

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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.