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Finding the Fourth Proportional to 10,333,825,769.60, 15,500,738,654.40 and 10,333,825,769.60

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Solution

The fourth proportional to 10,333,825,769.60, 15,500,738,654.40 and 10,333,825,769.60 is: 15,500,738,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333,825,769.60 : 15,500,738,654.40 = 10,333,825,769.60 : x
  2. Step 2: Convert to fraction form
    10,333,825,769.60/15,500,738,654.40 = 10,333,825,769.60/x
  3. Step 3: Cross multiply
    10,333,825,769.60x = 15,500,738,654.40 × 10,333,825,769.60
  4. Step 4: Simplify right side
    10,333,825,769.60x = 160,181,932,554,673,553,408
  5. Step 5: Solve for x
    x = 160,181,932,554,673,553,408/10,333,825,769.60
  6. Step 6: Final answer
    x = 15,500,738,654.40

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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.