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Finding the Fourth Proportional to 809,175,622.40, 1,213,763,433.60 and 809,175,622.40

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Solution

The fourth proportional to 809,175,622.40, 1,213,763,433.60 and 809,175,622.40 is: 1,213,763,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,175,622.40 : 1,213,763,433.60 = 809,175,622.40 : x
  2. Step 2: Convert to fraction form
    809,175,622.40/1,213,763,433.60 = 809,175,622.40/x
  3. Step 3: Cross multiply
    809,175,622.40x = 1,213,763,433.60 × 809,175,622.40
  4. Step 4: Simplify right side
    809,175,622.40x = 982,147,781,829,640,960
  5. Step 5: Solve for x
    x = 982,147,781,829,640,960/809,175,622.40
  6. Step 6: Final answer
    x = 1,213,763,433.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.