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Finding the Fourth Proportional to 323,046,144,003.20, 484,569,216,004.80 and 323,046,144,003.20

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Solution

The fourth proportional to 323,046,144,003.20, 484,569,216,004.80 and 323,046,144,003.20 is: 484,569,216,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,046,144,003.20 : 484,569,216,004.80 = 323,046,144,003.20 : x
  2. Step 2: Convert to fraction form
    323,046,144,003.20/484,569,216,004.80 = 323,046,144,003.20/x
  3. Step 3: Cross multiply
    323,046,144,003.20x = 484,569,216,004.80 × 323,046,144,003.20
  4. Step 4: Simplify right side
    323,046,144,003.20x = 156,538,216,733,004,332,531,712
  5. Step 5: Solve for x
    x = 156,538,216,733,004,332,531,712/323,046,144,003.20
  6. Step 6: Final answer
    x = 484,569,216,004.80

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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.