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Finding the Fourth Proportional to 644,628,609.80, 966,942,914.70 and 644,628,609.80

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Solution

The fourth proportional to 644,628,609.80, 966,942,914.70 and 644,628,609.80 is: 966,942,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,628,609.80 : 966,942,914.70 = 644,628,609.80 : x
  2. Step 2: Convert to fraction form
    644,628,609.80/966,942,914.70 = 644,628,609.80/x
  3. Step 3: Cross multiply
    644,628,609.80x = 966,942,914.70 × 644,628,609.80
  4. Step 4: Simplify right side
    644,628,609.80x = 623,319,066,859,020,928
  5. Step 5: Solve for x
    x = 623,319,066,859,020,928/644,628,609.80
  6. Step 6: Final answer
    x = 966,942,914.70

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