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Finding the Fourth Proportional to 644,591,207.10, 966,886,810.65 and 644,591,207.10

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Solution

The fourth proportional to 644,591,207.10, 966,886,810.65 and 644,591,207.10 is: 966,886,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,591,207.10 : 966,886,810.65 = 644,591,207.10 : x
  2. Step 2: Convert to fraction form
    644,591,207.10/966,886,810.65 = 644,591,207.10/x
  3. Step 3: Cross multiply
    644,591,207.10x = 966,886,810.65 × 644,591,207.10
  4. Step 4: Simplify right side
    644,591,207.10x = 623,246,736,405,952,640
  5. Step 5: Solve for x
    x = 623,246,736,405,952,640/644,591,207.10
  6. Step 6: Final answer
    x = 966,886,810.65

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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.