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Finding the Fourth Proportional to 807,821,963.48, 1,114,746,265.60 and 468,704,168.12

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Solution

The fourth proportional to 807,821,963.48, 1,114,746,265.60 and 468,704,168.12 is: 646,783,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,821,963.48 : 1,114,746,265.60 = 468,704,168.12 : x
  2. Step 2: Convert to fraction form
    807,821,963.48/1,114,746,265.60 = 468,704,168.12/x
  3. Step 3: Cross multiply
    807,821,963.48x = 1,114,746,265.60 × 468,704,168.12
  4. Step 4: Simplify right side
    807,821,963.48x = 522,486,221,082,924,544
  5. Step 5: Solve for x
    x = 522,486,221,082,924,544/807,821,963.48
  6. Step 6: Final answer
    x = 646,783,876.53

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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.