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Finding the Fourth Proportional to 496,136,964, 684,669,010.32 and 276,172,353.12

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Solution

The fourth proportional to 496,136,964, 684,669,010.32 and 276,172,353.12 is: 381,117,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,136,964 : 684,669,010.32 = 276,172,353.12 : x
  2. Step 2: Convert to fraction form
    496,136,964/684,669,010.32 = 276,172,353.12/x
  3. Step 3: Cross multiply
    496,136,964x = 684,669,010.32 × 276,172,353.12
  4. Step 4: Simplify right side
    496,136,964x = 189,086,651,688,415,968
  5. Step 5: Solve for x
    x = 189,086,651,688,415,968/496,136,964
  6. Step 6: Final answer
    x = 381,117,847.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.