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Finding the Fourth Proportional to 490,450,842,003.02, 735,676,263,004.55 and 490,450,842,003.02

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Solution

The fourth proportional to 490,450,842,003.02, 735,676,263,004.55 and 490,450,842,003.02 is: 735,676,263,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,450,842,003.02 : 735,676,263,004.55 = 490,450,842,003.02 : x
  2. Step 2: Convert to fraction form
    490,450,842,003.02/735,676,263,004.55 = 490,450,842,003.02/x
  3. Step 3: Cross multiply
    490,450,842,003.02x = 735,676,263,004.55 × 490,450,842,003.02
  4. Step 4: Simplify right side
    490,450,842,003.02x = 360,813,042,632,216,801,181,696
  5. Step 5: Solve for x
    x = 360,813,042,632,216,801,181,696/490,450,842,003.02
  6. Step 6: Final answer
    x = 735,676,263,004.55

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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.