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Finding the Fourth Proportional to 9,099,014,732.03, 13,648,522,098.05 and 9,099,014,732.03

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Solution

The fourth proportional to 9,099,014,732.03, 13,648,522,098.05 and 9,099,014,732.03 is: 13,648,522,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,014,732.03 : 13,648,522,098.05 = 9,099,014,732.03 : x
  2. Step 2: Convert to fraction form
    9,099,014,732.03/13,648,522,098.05 = 9,099,014,732.03/x
  3. Step 3: Cross multiply
    9,099,014,732.03x = 13,648,522,098.05 × 9,099,014,732.03
  4. Step 4: Simplify right side
    9,099,014,732.03x = 124,188,103,640,480,219,136
  5. Step 5: Solve for x
    x = 124,188,103,640,480,219,136/9,099,014,732.03
  6. Step 6: Final answer
    x = 13,648,522,098.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.