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Finding the Fourth Proportional to 490,450,842,003.77, 735,676,263,005.67 and 490,450,842,003.77

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Solution

The fourth proportional to 490,450,842,003.77, 735,676,263,005.67 and 490,450,842,003.77 is: 735,676,263,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,450,842,003.77 : 735,676,263,005.67 = 490,450,842,003.77 : x
  2. Step 2: Convert to fraction form
    490,450,842,003.77/735,676,263,005.67 = 490,450,842,003.77/x
  3. Step 3: Cross multiply
    490,450,842,003.77x = 735,676,263,005.67 × 490,450,842,003.77
  4. Step 4: Simplify right side
    490,450,842,003.77x = 360,813,042,633,317,856,313,344
  5. Step 5: Solve for x
    x = 360,813,042,633,317,856,313,344/490,450,842,003.77
  6. Step 6: Final answer
    x = 735,676,263,005.67

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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.