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Finding the Fourth Proportional to 873,190,506,608.90, 1,309,785,759,913.40 and 873,190,506,608.90

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Solution

The fourth proportional to 873,190,506,608.90, 1,309,785,759,913.40 and 873,190,506,608.90 is: 1,309,785,759,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,190,506,608.90 : 1,309,785,759,913.40 = 873,190,506,608.90 : x
  2. Step 2: Convert to fraction form
    873,190,506,608.90/1,309,785,759,913.40 = 873,190,506,608.90/x
  3. Step 3: Cross multiply
    873,190,506,608.90x = 1,309,785,759,913.40 × 873,190,506,608.90
  4. Step 4: Simplify right side
    873,190,506,608.90x = 1,143,692,491,247,904,717,012,992
  5. Step 5: Solve for x
    x = 1,143,692,491,247,904,717,012,992/873,190,506,608.90
  6. Step 6: Final answer
    x = 1,309,785,759,913.40

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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.