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Finding the Fourth Proportional to 256,241,738,408.20, 384,362,607,612.29 and 256,241,738,408.20

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Solution

The fourth proportional to 256,241,738,408.20, 384,362,607,612.29 and 256,241,738,408.20 is: 384,362,607,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,241,738,408.20 : 384,362,607,612.29 = 256,241,738,408.20 : x
  2. Step 2: Convert to fraction form
    256,241,738,408.20/384,362,607,612.29 = 256,241,738,408.20/x
  3. Step 3: Cross multiply
    256,241,738,408.20x = 384,362,607,612.29 × 256,241,738,408.20
  4. Step 4: Simplify right side
    256,241,738,408.20x = 98,489,742,753,682,042,126,336
  5. Step 5: Solve for x
    x = 98,489,742,753,682,042,126,336/256,241,738,408.20
  6. Step 6: Final answer
    x = 384,362,607,612.29

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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.