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Finding the Fourth Proportional to 146,126,601,097.80, 219,189,901,646.70 and 146,126,601,097.80

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Solution

The fourth proportional to 146,126,601,097.80, 219,189,901,646.70 and 146,126,601,097.80 is: 219,189,901,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,126,601,097.80 : 219,189,901,646.70 = 146,126,601,097.80 : x
  2. Step 2: Convert to fraction form
    146,126,601,097.80/219,189,901,646.70 = 146,126,601,097.80/x
  3. Step 3: Cross multiply
    146,126,601,097.80x = 219,189,901,646.70 × 146,126,601,097.80
  4. Step 4: Simplify right side
    146,126,601,097.80x = 32,029,475,322,593,347,108,864
  5. Step 5: Solve for x
    x = 32,029,475,322,593,347,108,864/146,126,601,097.80
  6. Step 6: Final answer
    x = 219,189,901,646.70

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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.