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Finding the Fourth Proportional to 930,849,894,453.02, 1,396,274,841,679.50 and 930,849,894,453.02

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Solution

The fourth proportional to 930,849,894,453.02, 1,396,274,841,679.50 and 930,849,894,453.02 is: 1,396,274,841,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,849,894,453.02 : 1,396,274,841,679.50 = 930,849,894,453.02 : x
  2. Step 2: Convert to fraction form
    930,849,894,453.02/1,396,274,841,679.50 = 930,849,894,453.02/x
  3. Step 3: Cross multiply
    930,849,894,453.02x = 1,396,274,841,679.50 × 930,849,894,453.02
  4. Step 4: Simplify right side
    930,849,894,453.02x = 1,299,722,289,004,769,796,161,536
  5. Step 5: Solve for x
    x = 1,299,722,289,004,769,796,161,536/930,849,894,453.02
  6. Step 6: Final answer
    x = 1,396,274,841,679.50

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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.