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Finding the Fourth Proportional to 365,806,368,004.55, 548,709,552,006.85 and 365,806,368,004.55

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Solution

The fourth proportional to 365,806,368,004.55, 548,709,552,006.85 and 365,806,368,004.55 is: 548,709,552,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,806,368,004.55 : 548,709,552,006.85 = 365,806,368,004.55 : x
  2. Step 2: Convert to fraction form
    365,806,368,004.55/548,709,552,006.85 = 365,806,368,004.55/x
  3. Step 3: Cross multiply
    365,806,368,004.55x = 548,709,552,006.85 × 365,806,368,004.55
  4. Step 4: Simplify right side
    365,806,368,004.55x = 200,721,448,309,029,523,685,376
  5. Step 5: Solve for x
    x = 200,721,448,309,029,523,685,376/365,806,368,004.55
  6. Step 6: Final answer
    x = 548,709,552,006.85

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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.