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Finding the Fourth Proportional to 274,710,753,670.82, 412,066,130,506.23 and 274,710,753,670.82

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Solution

The fourth proportional to 274,710,753,670.82, 412,066,130,506.23 and 274,710,753,670.82 is: 412,066,130,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710,753,670.82 : 412,066,130,506.23 = 274,710,753,670.82 : x
  2. Step 2: Convert to fraction form
    274,710,753,670.82/412,066,130,506.23 = 274,710,753,670.82/x
  3. Step 3: Cross multiply
    274,710,753,670.82x = 412,066,130,506.23 × 274,710,753,670.82
  4. Step 4: Simplify right side
    274,710,753,670.82x = 113,198,997,273,584,919,904,256
  5. Step 5: Solve for x
    x = 113,198,997,273,584,919,904,256/274,710,753,670.82
  6. Step 6: Final answer
    x = 412,066,130,506.23

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Double scale
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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.