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Finding the Fourth Proportional to 3,410,122,407.60, 5,115,183,611.40 and 3,410,122,407.60

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Solution

The fourth proportional to 3,410,122,407.60, 5,115,183,611.40 and 3,410,122,407.60 is: 5,115,183,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,122,407.60 : 5,115,183,611.40 = 3,410,122,407.60 : x
  2. Step 2: Convert to fraction form
    3,410,122,407.60/5,115,183,611.40 = 3,410,122,407.60/x
  3. Step 3: Cross multiply
    3,410,122,407.60x = 5,115,183,611.40 × 3,410,122,407.60
  4. Step 4: Simplify right side
    3,410,122,407.60x = 17,443,402,252,223,428,608
  5. Step 5: Solve for x
    x = 17,443,402,252,223,428,608/3,410,122,407.60
  6. Step 6: Final answer
    x = 5,115,183,611.40

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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.