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Finding the Fourth Proportional to 34,775,933,999.10, 52,163,900,998.65 and 34,775,933,999.10

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Solution

The fourth proportional to 34,775,933,999.10, 52,163,900,998.65 and 34,775,933,999.10 is: 52,163,900,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,775,933,999.10 : 52,163,900,998.65 = 34,775,933,999.10 : x
  2. Step 2: Convert to fraction form
    34,775,933,999.10/52,163,900,998.65 = 34,775,933,999.10/x
  3. Step 3: Cross multiply
    34,775,933,999.10x = 52,163,900,998.65 × 34,775,933,999.10
  4. Step 4: Simplify right side
    34,775,933,999.10x = 1,814,048,378,264,638,980,096
  5. Step 5: Solve for x
    x = 1,814,048,378,264,638,980,096/34,775,933,999.10
  6. Step 6: Final answer
    x = 52,163,900,998.65

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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.