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Finding the Fourth Proportional to 490,450,842,001.65, 735,676,263,002.49 and 490,450,842,001.65

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Solution

The fourth proportional to 490,450,842,001.65, 735,676,263,002.49 and 490,450,842,001.65 is: 735,676,263,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,450,842,001.65 : 735,676,263,002.49 = 490,450,842,001.65 : x
  2. Step 2: Convert to fraction form
    490,450,842,001.65/735,676,263,002.49 = 490,450,842,001.65/x
  3. Step 3: Cross multiply
    490,450,842,001.65x = 735,676,263,002.49 × 490,450,842,001.65
  4. Step 4: Simplify right side
    490,450,842,001.65x = 360,813,042,630,198,569,205,760
  5. Step 5: Solve for x
    x = 360,813,042,630,198,569,205,760/490,450,842,001.65
  6. Step 6: Final answer
    x = 735,676,263,002.49

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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.