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Finding the Fourth Proportional to 2,016,079,717,367, 3,024,119,576,050.80 and 2,016,079,717,367

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Solution

The fourth proportional to 2,016,079,717,367, 3,024,119,576,050.80 and 2,016,079,717,367 is: 3,024,119,576,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,079,717,367 : 3,024,119,576,050.80 = 2,016,079,717,367 : x
  2. Step 2: Convert to fraction form
    2,016,079,717,367/3,024,119,576,050.80 = 2,016,079,717,367/x
  3. Step 3: Cross multiply
    2,016,079,717,367x = 3,024,119,576,050.80 × 2,016,079,717,367
  4. Step 4: Simplify right side
    2,016,079,717,367x = 6,096,866,140,168,508,229,550,080
  5. Step 5: Solve for x
    x = 6,096,866,140,168,508,229,550,080/2,016,079,717,367
  6. Step 6: Final answer
    x = 3,024,119,576,050.80

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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.