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Finding the Fourth Proportional to 9,099,014,737.53, 13,648,522,106.29 and 9,099,014,737.53

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Solution

The fourth proportional to 9,099,014,737.53, 13,648,522,106.29 and 9,099,014,737.53 is: 13,648,522,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,014,737.53 : 13,648,522,106.29 = 9,099,014,737.53 : x
  2. Step 2: Convert to fraction form
    9,099,014,737.53/13,648,522,106.29 = 9,099,014,737.53/x
  3. Step 3: Cross multiply
    9,099,014,737.53x = 13,648,522,106.29 × 9,099,014,737.53
  4. Step 4: Simplify right side
    9,099,014,737.53x = 124,188,103,790,636,728,320
  5. Step 5: Solve for x
    x = 124,188,103,790,636,728,320/9,099,014,737.53
  6. Step 6: Final answer
    x = 13,648,522,106.29

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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.