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Finding the Fourth Proportional to 5,680,385,998.65, 8,520,578,997.98 and 5,680,385,998.65

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Solution

The fourth proportional to 5,680,385,998.65, 8,520,578,997.98 and 5,680,385,998.65 is: 8,520,578,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,385,998.65 : 8,520,578,997.98 = 5,680,385,998.65 : x
  2. Step 2: Convert to fraction form
    5,680,385,998.65/8,520,578,997.98 = 5,680,385,998.65/x
  3. Step 3: Cross multiply
    5,680,385,998.65x = 8,520,578,997.98 × 5,680,385,998.65
  4. Step 4: Simplify right side
    5,680,385,998.65x = 48,400,177,640,488,435,712
  5. Step 5: Solve for x
    x = 48,400,177,640,488,435,712/5,680,385,998.65
  6. Step 6: Final answer
    x = 8,520,578,997.98

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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.