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Finding the Fourth Proportional to 946,728,009.90, 1,420,092,014.85 and 946,728,009.90

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Solution

The fourth proportional to 946,728,009.90, 1,420,092,014.85 and 946,728,009.90 is: 1,420,092,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,728,009.90 : 1,420,092,014.85 = 946,728,009.90 : x
  2. Step 2: Convert to fraction form
    946,728,009.90/1,420,092,014.85 = 946,728,009.90/x
  3. Step 3: Cross multiply
    946,728,009.90x = 1,420,092,014.85 × 946,728,009.90
  4. Step 4: Simplify right side
    946,728,009.90x = 1,344,440,887,093,821,696
  5. Step 5: Solve for x
    x = 1,344,440,887,093,821,696/946,728,009.90
  6. Step 6: Final answer
    x = 1,420,092,014.85

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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.