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Finding the Fourth Proportional to 821,245,513, 1,133,039,805.04 and 468,568,143.40

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Solution

The fourth proportional to 821,245,513, 1,133,039,805.04 and 468,568,143.40 is: 646,464,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,245,513 : 1,133,039,805.04 = 468,568,143.40 : x
  2. Step 2: Convert to fraction form
    821,245,513/1,133,039,805.04 = 468,568,143.40/x
  3. Step 3: Cross multiply
    821,245,513x = 1,133,039,805.04 × 468,568,143.40
  4. Step 4: Simplify right side
    821,245,513x = 530,906,357,845,890,688
  5. Step 5: Solve for x
    x = 530,906,357,845,890,688/821,245,513
  6. Step 6: Final answer
    x = 646,464,850.57

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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.