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Finding the Fourth Proportional to 807,821,898.46, 1,114,746,175.87 and 468,704,103.21

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Solution

The fourth proportional to 807,821,898.46, 1,114,746,175.87 and 468,704,103.21 is: 646,783,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,821,898.46 : 1,114,746,175.87 = 468,704,103.21 : x
  2. Step 2: Convert to fraction form
    807,821,898.46/1,114,746,175.87 = 468,704,103.21/x
  3. Step 3: Cross multiply
    807,821,898.46x = 1,114,746,175.87 × 468,704,103.21
  4. Step 4: Simplify right side
    807,821,898.46x = 522,486,106,666,753,536
  5. Step 5: Solve for x
    x = 522,486,106,666,753,536/807,821,898.46
  6. Step 6: Final answer
    x = 646,783,786.95

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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.