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Finding the Fourth Proportional to 599,184,696.30, 897,433,351.65 and 599,184,696.30

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Solution

The fourth proportional to 599,184,696.30, 897,433,351.65 and 599,184,696.30 is: 897,433,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,184,696.30 : 897,433,351.65 = 599,184,696.30 : x
  2. Step 2: Convert to fraction form
    599,184,696.30/897,433,351.65 = 599,184,696.30/x
  3. Step 3: Cross multiply
    599,184,696.30x = 897,433,351.65 × 599,184,696.30
  4. Step 4: Simplify right side
    599,184,696.30x = 537,728,330,257,896,320
  5. Step 5: Solve for x
    x = 537,728,330,257,896,320/599,184,696.30
  6. Step 6: Final answer
    x = 897,433,351.65

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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.