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Finding the Fourth Proportional to 57,285,468,000.23, 85,928,202,000.34 and 57,285,468,000.23

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Solution

The fourth proportional to 57,285,468,000.23, 85,928,202,000.34 and 57,285,468,000.23 is: 85,928,202,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285,468,000.23 : 85,928,202,000.34 = 57,285,468,000.23 : x
  2. Step 2: Convert to fraction form
    57,285,468,000.23/85,928,202,000.34 = 57,285,468,000.23/x
  3. Step 3: Cross multiply
    57,285,468,000.23x = 85,928,202,000.34 × 57,285,468,000.23
  4. Step 4: Simplify right side
    57,285,468,000.23x = 4,922,437,266,007,060,905,984
  5. Step 5: Solve for x
    x = 4,922,437,266,007,060,905,984/57,285,468,000.23
  6. Step 6: Final answer
    x = 85,928,202,000.34

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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.