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Finding the Fourth Proportional to 14,380,452,006.70, 21,538,429,382.85 and 14,380,452,006.70

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Solution

The fourth proportional to 14,380,452,006.70, 21,538,429,382.85 and 14,380,452,006.70 is: 21,538,429,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380,452,006.70 : 21,538,429,382.85 = 14,380,452,006.70 : x
  2. Step 2: Convert to fraction form
    14,380,452,006.70/21,538,429,382.85 = 14,380,452,006.70/x
  3. Step 3: Cross multiply
    14,380,452,006.70x = 21,538,429,382.85 × 14,380,452,006.70
  4. Step 4: Simplify right side
    14,380,452,006.70x = 309,732,350,039,771,512,832
  5. Step 5: Solve for x
    x = 309,732,350,039,771,512,832/14,380,452,006.70
  6. Step 6: Final answer
    x = 21,538,429,382.85

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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.