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Finding the Fourth Proportional to 111,295,955,928.30, 166,943,933,892.45 and 111,295,955,928.30

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Solution

The fourth proportional to 111,295,955,928.30, 166,943,933,892.45 and 111,295,955,928.30 is: 166,943,933,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295,955,928.30 : 166,943,933,892.45 = 111,295,955,928.30 : x
  2. Step 2: Convert to fraction form
    111,295,955,928.30/166,943,933,892.45 = 111,295,955,928.30/x
  3. Step 3: Cross multiply
    111,295,955,928.30x = 166,943,933,892.45 × 111,295,955,928.30
  4. Step 4: Simplify right side
    111,295,955,928.30x = 18,580,184,708,991,145,738,240
  5. Step 5: Solve for x
    x = 18,580,184,708,991,145,738,240/111,295,955,928.30
  6. Step 6: Final answer
    x = 166,943,933,892.45

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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.