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Finding the Fourth Proportional to 686,844,672, 947,759,618.52 and 464,310,544.20

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Solution

The fourth proportional to 686,844,672, 947,759,618.52 and 464,310,544.20 is: 640,690,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,844,672 : 947,759,618.52 = 464,310,544.20 : x
  2. Step 2: Convert to fraction form
    686,844,672/947,759,618.52 = 464,310,544.20/x
  3. Step 3: Cross multiply
    686,844,672x = 947,759,618.52 × 464,310,544.20
  4. Step 4: Simplify right side
    686,844,672x = 440,054,784,245,805,568
  5. Step 5: Solve for x
    x = 440,054,784,245,805,568/686,844,672
  6. Step 6: Final answer
    x = 640,690,395.06

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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.