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Finding the Fourth Proportional to 1,010,394,209.70, 1,411,108,155.90 and 1,010,394,209.70

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Solution

The fourth proportional to 1,010,394,209.70, 1,411,108,155.90 and 1,010,394,209.70 is: 1,411,108,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,394,209.70 : 1,411,108,155.90 = 1,010,394,209.70 : x
  2. Step 2: Convert to fraction form
    1,010,394,209.70/1,411,108,155.90 = 1,010,394,209.70/x
  3. Step 3: Cross multiply
    1,010,394,209.70x = 1,411,108,155.90 × 1,010,394,209.70
  4. Step 4: Simplify right side
    1,010,394,209.70x = 1,425,775,509,981,805,056
  5. Step 5: Solve for x
    x = 1,425,775,509,981,805,056/1,010,394,209.70
  6. Step 6: Final answer
    x = 1,411,108,155.90

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Half scale
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Double scale
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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.