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Finding the Fourth Proportional to 1,010,394,195.20, 1,411,108,135.60 and 1,010,394,195.20

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Solution

The fourth proportional to 1,010,394,195.20, 1,411,108,135.60 and 1,010,394,195.20 is: 1,411,108,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,394,195.20 : 1,411,108,135.60 = 1,010,394,195.20 : x
  2. Step 2: Convert to fraction form
    1,010,394,195.20/1,411,108,135.60 = 1,010,394,195.20/x
  3. Step 3: Cross multiply
    1,010,394,195.20x = 1,411,108,135.60 × 1,010,394,195.20
  4. Step 4: Simplify right side
    1,010,394,195.20x = 1,425,775,469,009,734,400
  5. Step 5: Solve for x
    x = 1,425,775,469,009,734,400/1,010,394,195.20
  6. Step 6: Final answer
    x = 1,411,108,135.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.