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Finding the Fourth Proportional to 3,669,293,397.90, 5,151,522,639.30 and 3,669,293,397.90

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Solution

The fourth proportional to 3,669,293,397.90, 5,151,522,639.30 and 3,669,293,397.90 is: 5,151,522,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,293,397.90 : 5,151,522,639.30 = 3,669,293,397.90 : x
  2. Step 2: Convert to fraction form
    3,669,293,397.90/5,151,522,639.30 = 3,669,293,397.90/x
  3. Step 3: Cross multiply
    3,669,293,397.90x = 5,151,522,639.30 × 3,669,293,397.90
  4. Step 4: Simplify right side
    3,669,293,397.90x = 18,902,448,009,515,872,256
  5. Step 5: Solve for x
    x = 18,902,448,009,515,872,256/3,669,293,397.90
  6. Step 6: Final answer
    x = 5,151,522,639.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.