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Finding the Fourth Proportional to 873,353,086,951.75, 1,310,029,630,427.60 and 873,353,086,951.75

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Solution

The fourth proportional to 873,353,086,951.75, 1,310,029,630,427.60 and 873,353,086,951.75 is: 1,310,029,630,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,353,086,951.75 : 1,310,029,630,427.60 = 873,353,086,951.75 : x
  2. Step 2: Convert to fraction form
    873,353,086,951.75/1,310,029,630,427.60 = 873,353,086,951.75/x
  3. Step 3: Cross multiply
    873,353,086,951.75x = 1,310,029,630,427.60 × 873,353,086,951.75
  4. Step 4: Simplify right side
    873,353,086,951.75x = 1,144,118,421,732,204,723,830,784
  5. Step 5: Solve for x
    x = 1,144,118,421,732,204,723,830,784/873,353,086,951.75
  6. Step 6: Final answer
    x = 1,310,029,630,427.60

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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.