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Finding the Fourth Proportional to 613,282,914,006.82, 919,924,371,010.20 and 613,282,914,006.82

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Solution

The fourth proportional to 613,282,914,006.82, 919,924,371,010.20 and 613,282,914,006.82 is: 919,924,371,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282,914,006.82 : 919,924,371,010.20 = 613,282,914,006.82 : x
  2. Step 2: Convert to fraction form
    613,282,914,006.82/919,924,371,010.20 = 613,282,914,006.82/x
  3. Step 3: Cross multiply
    613,282,914,006.82x = 919,924,371,010.20 × 613,282,914,006.82
  4. Step 4: Simplify right side
    613,282,914,006.82x = 564,173,898,919,026,375,000,064
  5. Step 5: Solve for x
    x = 564,173,898,919,026,375,000,064/613,282,914,006.82
  6. Step 6: Final answer
    x = 919,924,371,010.20

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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.