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Finding the Fourth Proportional to 274,710,755,999.70, 412,066,133,999.55 and 274,710,755,999.70

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Solution

The fourth proportional to 274,710,755,999.70, 412,066,133,999.55 and 274,710,755,999.70 is: 412,066,133,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710,755,999.70 : 412,066,133,999.55 = 274,710,755,999.70 : x
  2. Step 2: Convert to fraction form
    274,710,755,999.70/412,066,133,999.55 = 274,710,755,999.70/x
  3. Step 3: Cross multiply
    274,710,755,999.70x = 412,066,133,999.55 × 274,710,755,999.70
  4. Step 4: Simplify right side
    274,710,755,999.70x = 113,198,999,192,890,058,473,472
  5. Step 5: Solve for x
    x = 113,198,999,192,890,058,473,472/274,710,755,999.70
  6. Step 6: Final answer
    x = 412,066,133,999.55

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1.5x scale

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.