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Finding the Fourth Proportional to 843,696,376.80, 1,178,453,949.60 and 843,696,376.80

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Solution

The fourth proportional to 843,696,376.80, 1,178,453,949.60 and 843,696,376.80 is: 1,178,453,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,696,376.80 : 1,178,453,949.60 = 843,696,376.80 : x
  2. Step 2: Convert to fraction form
    843,696,376.80/1,178,453,949.60 = 843,696,376.80/x
  3. Step 3: Cross multiply
    843,696,376.80x = 1,178,453,949.60 × 843,696,376.80
  4. Step 4: Simplify right side
    843,696,376.80x = 994,257,327,503,169,664
  5. Step 5: Solve for x
    x = 994,257,327,503,169,664/843,696,376.80
  6. Step 6: Final answer
    x = 1,178,453,949.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.