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Finding the Fourth Proportional to 13,649,524,485.60, 19,135,133,181.60 and 13,649,524,485.60

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Solution

The fourth proportional to 13,649,524,485.60, 19,135,133,181.60 and 13,649,524,485.60 is: 19,135,133,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649,524,485.60 : 19,135,133,181.60 = 13,649,524,485.60 : x
  2. Step 2: Convert to fraction form
    13,649,524,485.60/19,135,133,181.60 = 13,649,524,485.60/x
  3. Step 3: Cross multiply
    13,649,524,485.60x = 19,135,133,181.60 × 13,649,524,485.60
  4. Step 4: Simplify right side
    13,649,524,485.60x = 261,185,468,897,466,220,544
  5. Step 5: Solve for x
    x = 261,185,468,897,466,220,544/13,649,524,485.60
  6. Step 6: Final answer
    x = 19,135,133,181.60

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Why These Related Problems?

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