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Finding the Fourth Proportional to 9,099,014,798.65, 13,648,522,197.98 and 9,099,014,798.65

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Solution

The fourth proportional to 9,099,014,798.65, 13,648,522,197.98 and 9,099,014,798.65 is: 13,648,522,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,014,798.65 : 13,648,522,197.98 = 9,099,014,798.65 : x
  2. Step 2: Convert to fraction form
    9,099,014,798.65/13,648,522,197.98 = 9,099,014,798.65/x
  3. Step 3: Cross multiply
    9,099,014,798.65x = 13,648,522,197.98 × 9,099,014,798.65
  4. Step 4: Simplify right side
    9,099,014,798.65x = 124,188,105,459,123,027,968
  5. Step 5: Solve for x
    x = 124,188,105,459,123,027,968/9,099,014,798.65
  6. Step 6: Final answer
    x = 13,648,522,197.98

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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.