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Finding the Fourth Proportional to 466,395,593,313.30, 699,593,389,969.95 and 466,395,593,313.30

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Solution

The fourth proportional to 466,395,593,313.30, 699,593,389,969.95 and 466,395,593,313.30 is: 699,593,389,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395,593,313.30 : 699,593,389,969.95 = 466,395,593,313.30 : x
  2. Step 2: Convert to fraction form
    466,395,593,313.30/699,593,389,969.95 = 466,395,593,313.30/x
  3. Step 3: Cross multiply
    466,395,593,313.30x = 699,593,389,969.95 × 466,395,593,313.30
  4. Step 4: Simplify right side
    466,395,593,313.30x = 326,287,274,193,097,681,010,688
  5. Step 5: Solve for x
    x = 326,287,274,193,097,681,010,688/466,395,593,313.30
  6. Step 6: Final answer
    x = 699,593,389,969.95

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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.