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Finding the Fourth Proportional to 873,190,502,023.90, 1,309,785,753,035.90 and 873,190,502,023.90

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Solution

The fourth proportional to 873,190,502,023.90, 1,309,785,753,035.90 and 873,190,502,023.90 is: 1,309,785,753,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,190,502,023.90 : 1,309,785,753,035.90 = 873,190,502,023.90 : x
  2. Step 2: Convert to fraction form
    873,190,502,023.90/1,309,785,753,035.90 = 873,190,502,023.90/x
  3. Step 3: Cross multiply
    873,190,502,023.90x = 1,309,785,753,035.90 × 873,190,502,023.90
  4. Step 4: Simplify right side
    873,190,502,023.90x = 1,143,692,479,237,169,333,927,936
  5. Step 5: Solve for x
    x = 1,143,692,479,237,169,333,927,936/873,190,502,023.90
  6. Step 6: Final answer
    x = 1,309,785,753,035.90

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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.