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Finding the Fourth Proportional to 878,586,691.63, 1,212,446,307.19 and 482,116,314.63

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Solution

The fourth proportional to 878,586,691.63, 1,212,446,307.19 and 482,116,314.63 is: 665,318,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,586,691.63 : 1,212,446,307.19 = 482,116,314.63 : x
  2. Step 2: Convert to fraction form
    878,586,691.63/1,212,446,307.19 = 482,116,314.63/x
  3. Step 3: Cross multiply
    878,586,691.63x = 1,212,446,307.19 × 482,116,314.63
  4. Step 4: Simplify right side
    878,586,691.63x = 584,540,145,306,785,024
  5. Step 5: Solve for x
    x = 584,540,145,306,785,024/878,586,691.63
  6. Step 6: Final answer
    x = 665,318,688.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.