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Finding the Fourth Proportional to 644,004,010.90, 966,006,016.35 and 644,004,010.90

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Solution

The fourth proportional to 644,004,010.90, 966,006,016.35 and 644,004,010.90 is: 966,006,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,004,010.90 : 966,006,016.35 = 644,004,010.90 : x
  2. Step 2: Convert to fraction form
    644,004,010.90/966,006,016.35 = 644,004,010.90/x
  3. Step 3: Cross multiply
    644,004,010.90x = 966,006,016.35 × 644,004,010.90
  4. Step 4: Simplify right side
    644,004,010.90x = 622,111,749,082,930,944
  5. Step 5: Solve for x
    x = 622,111,749,082,930,944/644,004,010.90
  6. Step 6: Final answer
    x = 966,006,016.35

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.