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Finding the Fourth Proportional to 9,099,683,064.65, 13,649,524,596.98 and 9,099,683,064.65

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Solution

The fourth proportional to 9,099,683,064.65, 13,649,524,596.98 and 9,099,683,064.65 is: 13,649,524,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,683,064.65 : 13,649,524,596.98 = 9,099,683,064.65 : x
  2. Step 2: Convert to fraction form
    9,099,683,064.65/13,649,524,596.98 = 9,099,683,064.65/x
  3. Step 3: Cross multiply
    9,099,683,064.65x = 13,649,524,596.98 × 9,099,683,064.65
  4. Step 4: Simplify right side
    9,099,683,064.65x = 124,206,347,815,662,518,272
  5. Step 5: Solve for x
    x = 124,206,347,815,662,518,272/9,099,683,064.65
  6. Step 6: Final answer
    x = 13,649,524,596.98

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Double scale
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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.