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Finding the Fourth Proportional to 9,965,932,731.80, 14,948,899,097.70 and 9,965,932,731.80

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Solution

The fourth proportional to 9,965,932,731.80, 14,948,899,097.70 and 9,965,932,731.80 is: 14,948,899,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965,932,731.80 : 14,948,899,097.70 = 9,965,932,731.80 : x
  2. Step 2: Convert to fraction form
    9,965,932,731.80/14,948,899,097.70 = 9,965,932,731.80/x
  3. Step 3: Cross multiply
    9,965,932,731.80x = 14,948,899,097.70 × 9,965,932,731.80
  4. Step 4: Simplify right side
    9,965,932,731.80x = 148,979,722,822,143,901,696
  5. Step 5: Solve for x
    x = 148,979,722,822,143,901,696/9,965,932,731.80
  6. Step 6: Final answer
    x = 14,948,899,097.70

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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.