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Finding the Fourth Proportional to 10,992,458,474.40, 16,488,687,711.60 and 10,992,458,474.40

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Solution

The fourth proportional to 10,992,458,474.40, 16,488,687,711.60 and 10,992,458,474.40 is: 16,488,687,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992,458,474.40 : 16,488,687,711.60 = 10,992,458,474.40 : x
  2. Step 2: Convert to fraction form
    10,992,458,474.40/16,488,687,711.60 = 10,992,458,474.40/x
  3. Step 3: Cross multiply
    10,992,458,474.40x = 16,488,687,711.60 × 10,992,458,474.40
  4. Step 4: Simplify right side
    10,992,458,474.40x = 181,251,214,967,112,564,736
  5. Step 5: Solve for x
    x = 181,251,214,967,112,564,736/10,992,458,474.40
  6. Step 6: Final answer
    x = 16,488,687,711.60

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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.