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Finding the Fourth Proportional to 768,952,993.14, 1,061,160,225.62 and 416,528,983.85

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Solution

The fourth proportional to 768,952,993.14, 1,061,160,225.62 and 416,528,983.85 is: 574,812,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,952,993.14 : 1,061,160,225.62 = 416,528,983.85 : x
  2. Step 2: Convert to fraction form
    768,952,993.14/1,061,160,225.62 = 416,528,983.85/x
  3. Step 3: Cross multiply
    768,952,993.14x = 1,061,160,225.62 × 416,528,983.85
  4. Step 4: Simplify right side
    768,952,993.14x = 442,003,990,472,146,944
  5. Step 5: Solve for x
    x = 442,003,990,472,146,944/768,952,993.14
  6. Step 6: Final answer
    x = 574,812,757.63

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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.