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Finding the Fourth Proportional to 213,861,736,809.90, 320,792,605,214.85 and 213,861,736,809.90

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Solution

The fourth proportional to 213,861,736,809.90, 320,792,605,214.85 and 213,861,736,809.90 is: 320,792,605,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,861,736,809.90 : 320,792,605,214.85 = 213,861,736,809.90 : x
  2. Step 2: Convert to fraction form
    213,861,736,809.90/320,792,605,214.85 = 213,861,736,809.90/x
  3. Step 3: Cross multiply
    213,861,736,809.90x = 320,792,605,214.85 × 213,861,736,809.90
  4. Step 4: Simplify right side
    213,861,736,809.90x = 68,605,263,707,020,399,214,592
  5. Step 5: Solve for x
    x = 68,605,263,707,020,399,214,592/213,861,736,809.90
  6. Step 6: Final answer
    x = 320,792,605,214.85

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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.