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Finding the Fourth Proportional to 110,010,477,632.70, 165,015,716,449.05 and 110,010,477,632.70

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Solution

The fourth proportional to 110,010,477,632.70, 165,015,716,449.05 and 110,010,477,632.70 is: 165,015,716,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,477,632.70 : 165,015,716,449.05 = 110,010,477,632.70 : x
  2. Step 2: Convert to fraction form
    110,010,477,632.70/165,015,716,449.05 = 110,010,477,632.70/x
  3. Step 3: Cross multiply
    110,010,477,632.70x = 165,015,716,449.05 × 110,010,477,632.70
  4. Step 4: Simplify right side
    110,010,477,632.70x = 18,153,457,783,462,179,110,912
  5. Step 5: Solve for x
    x = 18,153,457,783,462,179,110,912/110,010,477,632.70
  6. Step 6: Final answer
    x = 165,015,716,449.05

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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.