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Finding the Fourth Proportional to 766,934,022.95, 1,150,401,034.43 and 766,934,022.95

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Solution

The fourth proportional to 766,934,022.95, 1,150,401,034.43 and 766,934,022.95 is: 1,150,401,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,934,022.95 : 1,150,401,034.43 = 766,934,022.95 : x
  2. Step 2: Convert to fraction form
    766,934,022.95/1,150,401,034.43 = 766,934,022.95/x
  3. Step 3: Cross multiply
    766,934,022.95x = 1,150,401,034.43 × 766,934,022.95
  4. Step 4: Simplify right side
    766,934,022.95x = 882,281,693,337,406,720
  5. Step 5: Solve for x
    x = 882,281,693,337,406,720/766,934,022.95
  6. Step 6: Final answer
    x = 1,150,401,034.43

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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.