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Finding the Fourth Proportional to 183,140,502,369.30, 274,710,753,553.95 and 183,140,502,369.30

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Solution

The fourth proportional to 183,140,502,369.30, 274,710,753,553.95 and 183,140,502,369.30 is: 274,710,753,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,140,502,369.30 : 274,710,753,553.95 = 183,140,502,369.30 : x
  2. Step 2: Convert to fraction form
    183,140,502,369.30/274,710,753,553.95 = 183,140,502,369.30/x
  3. Step 3: Cross multiply
    183,140,502,369.30x = 274,710,753,553.95 × 183,140,502,369.30
  4. Step 4: Simplify right side
    183,140,502,369.30x = 50,310,665,412,119,367,778,304
  5. Step 5: Solve for x
    x = 50,310,665,412,119,367,778,304/183,140,502,369.30
  6. Step 6: Final answer
    x = 274,710,753,553.95

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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.