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Finding the Fourth Proportional to 873,353,086,906.35, 1,310,029,630,359.50 and 873,353,086,906.35

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Solution

The fourth proportional to 873,353,086,906.35, 1,310,029,630,359.50 and 873,353,086,906.35 is: 1,310,029,630,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,353,086,906.35 : 1,310,029,630,359.50 = 873,353,086,906.35 : x
  2. Step 2: Convert to fraction form
    873,353,086,906.35/1,310,029,630,359.50 = 873,353,086,906.35/x
  3. Step 3: Cross multiply
    873,353,086,906.35x = 1,310,029,630,359.50 × 873,353,086,906.35
  4. Step 4: Simplify right side
    873,353,086,906.35x = 1,144,118,421,613,253,993,955,328
  5. Step 5: Solve for x
    x = 1,144,118,421,613,253,993,955,328/873,353,086,906.35
  6. Step 6: Final answer
    x = 1,310,029,630,359.50

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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.