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Finding the Fourth Proportional to 111,197,647,548.70, 166,796,471,323.05 and 111,197,647,548.70

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Solution

The fourth proportional to 111,197,647,548.70, 166,796,471,323.05 and 111,197,647,548.70 is: 166,796,471,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,197,647,548.70 : 166,796,471,323.05 = 111,197,647,548.70 : x
  2. Step 2: Convert to fraction form
    111,197,647,548.70/166,796,471,323.05 = 111,197,647,548.70/x
  3. Step 3: Cross multiply
    111,197,647,548.70x = 166,796,471,323.05 × 111,197,647,548.70
  4. Step 4: Simplify right side
    111,197,647,548.70x = 18,547,375,230,547,358,908,416
  5. Step 5: Solve for x
    x = 18,547,375,230,547,358,908,416/111,197,647,548.70
  6. Step 6: Final answer
    x = 166,796,471,323.05

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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.