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Finding the Fourth Proportional to 38,305,759,715.20, 57,458,639,572.80 and 38,305,759,715.20

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Solution

The fourth proportional to 38,305,759,715.20, 57,458,639,572.80 and 38,305,759,715.20 is: 57,458,639,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305,759,715.20 : 57,458,639,572.80 = 38,305,759,715.20 : x
  2. Step 2: Convert to fraction form
    38,305,759,715.20/57,458,639,572.80 = 38,305,759,715.20/x
  3. Step 3: Cross multiply
    38,305,759,715.20x = 57,458,639,572.80 × 38,305,759,715.20
  4. Step 4: Simplify right side
    38,305,759,715.20x = 2,200,996,841,037,958,742,016
  5. Step 5: Solve for x
    x = 2,200,996,841,037,958,742,016/38,305,759,715.20
  6. Step 6: Final answer
    x = 57,458,639,572.80

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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.