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Finding the Fourth Proportional to 5,410,365,940.15, 8,115,548,910.23 and 5,410,365,940.15

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Solution

The fourth proportional to 5,410,365,940.15, 8,115,548,910.23 and 5,410,365,940.15 is: 8,115,548,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,365,940.15 : 8,115,548,910.23 = 5,410,365,940.15 : x
  2. Step 2: Convert to fraction form
    5,410,365,940.15/8,115,548,910.23 = 5,410,365,940.15/x
  3. Step 3: Cross multiply
    5,410,365,940.15x = 8,115,548,910.23 × 5,410,365,940.15
  4. Step 4: Simplify right side
    5,410,365,940.15x = 43,908,089,409,529,839,616
  5. Step 5: Solve for x
    x = 43,908,089,409,529,839,616/5,410,365,940.15
  6. Step 6: Final answer
    x = 8,115,548,910.23

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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.