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Finding the Fourth Proportional to 274,302,289,171.23, 411,453,433,756.85 and 274,302,289,171.23

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Solution

The fourth proportional to 274,302,289,171.23, 411,453,433,756.85 and 274,302,289,171.23 is: 411,453,433,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302,289,171.23 : 411,453,433,756.85 = 274,302,289,171.23 : x
  2. Step 2: Convert to fraction form
    274,302,289,171.23/411,453,433,756.85 = 274,302,289,171.23/x
  3. Step 3: Cross multiply
    274,302,289,171.23x = 411,453,433,756.85 × 274,302,289,171.23
  4. Step 4: Simplify right side
    274,302,289,171.23x = 112,862,618,766,866,999,410,688
  5. Step 5: Solve for x
    x = 112,862,618,766,866,999,410,688/274,302,289,171.23
  6. Step 6: Final answer
    x = 411,453,433,756.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.