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Finding the Fourth Proportional to 25,227,123,043.65, 37,840,684,565.48 and 25,227,123,043.65

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Solution

The fourth proportional to 25,227,123,043.65, 37,840,684,565.48 and 25,227,123,043.65 is: 37,840,684,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227,123,043.65 : 37,840,684,565.48 = 25,227,123,043.65 : x
  2. Step 2: Convert to fraction form
    25,227,123,043.65/37,840,684,565.48 = 25,227,123,043.65/x
  3. Step 3: Cross multiply
    25,227,123,043.65x = 37,840,684,565.48 × 25,227,123,043.65
  4. Step 4: Simplify right side
    25,227,123,043.65x = 954,611,605,589,185,265,664
  5. Step 5: Solve for x
    x = 954,611,605,589,185,265,664/25,227,123,043.65
  6. Step 6: Final answer
    x = 37,840,684,565.48

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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.