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Finding the Fourth Proportional to 271,513,836,000.52, 407,270,754,000.78 and 271,513,836,000.52

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Solution

The fourth proportional to 271,513,836,000.52, 407,270,754,000.78 and 271,513,836,000.52 is: 407,270,754,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,513,836,000.52 : 407,270,754,000.78 = 271,513,836,000.52 : x
  2. Step 2: Convert to fraction form
    271,513,836,000.52/407,270,754,000.78 = 271,513,836,000.52/x
  3. Step 3: Cross multiply
    271,513,836,000.52x = 407,270,754,000.78 × 271,513,836,000.52
  4. Step 4: Simplify right side
    271,513,836,000.52x = 110,579,644,709,575,904,460,800
  5. Step 5: Solve for x
    x = 110,579,644,709,575,904,460,800/271,513,836,000.52
  6. Step 6: Final answer
    x = 407,270,754,000.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.