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Finding the Fourth Proportional to 220,765,601,552.74, 331,148,402,329.11 and 220,765,601,552.74

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Solution

The fourth proportional to 220,765,601,552.74, 331,148,402,329.11 and 220,765,601,552.74 is: 331,148,402,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,765,601,552.74 : 331,148,402,329.11 = 220,765,601,552.74 : x
  2. Step 2: Convert to fraction form
    220,765,601,552.74/331,148,402,329.11 = 220,765,601,552.74/x
  3. Step 3: Cross multiply
    220,765,601,552.74x = 331,148,402,329.11 × 220,765,601,552.74
  4. Step 4: Simplify right side
    220,765,601,552.74x = 73,106,176,243,414,729,752,576
  5. Step 5: Solve for x
    x = 73,106,176,243,414,729,752,576/220,765,601,552.74
  6. Step 6: Final answer
    x = 331,148,402,329.11

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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.