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Finding the Fourth Proportional to 31,375,060,114.65, 47,062,590,171.98 and 31,375,060,114.65

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Solution

The fourth proportional to 31,375,060,114.65, 47,062,590,171.98 and 31,375,060,114.65 is: 47,062,590,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375,060,114.65 : 47,062,590,171.98 = 31,375,060,114.65 : x
  2. Step 2: Convert to fraction form
    31,375,060,114.65/47,062,590,171.98 = 31,375,060,114.65/x
  3. Step 3: Cross multiply
    31,375,060,114.65x = 47,062,590,171.98 × 31,375,060,114.65
  4. Step 4: Simplify right side
    31,375,060,114.65x = 1,476,591,595,796,851,851,264
  5. Step 5: Solve for x
    x = 1,476,591,595,796,851,851,264/31,375,060,114.65
  6. Step 6: Final answer
    x = 47,062,590,171.98

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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.