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Finding the Fourth Proportional to 102,410,331,333.73, 153,615,497,000.60 and 102,410,331,333.73

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Solution

The fourth proportional to 102,410,331,333.73, 153,615,497,000.60 and 102,410,331,333.73 is: 153,615,497,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410,331,333.73 : 153,615,497,000.60 = 102,410,331,333.73 : x
  2. Step 2: Convert to fraction form
    102,410,331,333.73/153,615,497,000.60 = 102,410,331,333.73/x
  3. Step 3: Cross multiply
    102,410,331,333.73x = 153,615,497,000.60 × 102,410,331,333.73
  4. Step 4: Simplify right side
    102,410,331,333.73x = 15,731,813,945,827,053,797,376
  5. Step 5: Solve for x
    x = 15,731,813,945,827,053,797,376/102,410,331,333.73
  6. Step 6: Final answer
    x = 153,615,497,000.60

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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.