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Finding the Fourth Proportional to 631,351,907,999.75, 947,027,861,999.60 and 631,351,907,999.75

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Solution

The fourth proportional to 631,351,907,999.75, 947,027,861,999.60 and 631,351,907,999.75 is: 947,027,861,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,351,907,999.75 : 947,027,861,999.60 = 631,351,907,999.75 : x
  2. Step 2: Convert to fraction form
    631,351,907,999.75/947,027,861,999.60 = 631,351,907,999.75/x
  3. Step 3: Cross multiply
    631,351,907,999.75x = 947,027,861,999.60 × 631,351,907,999.75
  4. Step 4: Simplify right side
    631,351,907,999.75x = 597,907,847,602,371,391,651,840
  5. Step 5: Solve for x
    x = 597,907,847,602,371,391,651,840/631,351,907,999.75
  6. Step 6: Final answer
    x = 947,027,861,999.60

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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.