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Finding the Fourth Proportional to 30,343,789,933.90, 45,515,684,900.85 and 30,343,789,933.90

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Solution

The fourth proportional to 30,343,789,933.90, 45,515,684,900.85 and 30,343,789,933.90 is: 45,515,684,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,789,933.90 : 45,515,684,900.85 = 30,343,789,933.90 : x
  2. Step 2: Convert to fraction form
    30,343,789,933.90/45,515,684,900.85 = 30,343,789,933.90/x
  3. Step 3: Cross multiply
    30,343,789,933.90x = 45,515,684,900.85 × 30,343,789,933.90
  4. Step 4: Simplify right side
    30,343,789,933.90x = 1,381,118,381,328,976,576,512
  5. Step 5: Solve for x
    x = 1,381,118,381,328,976,576,512/30,343,789,933.90
  6. Step 6: Final answer
    x = 45,515,684,900.85

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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.