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Finding the Fourth Proportional to 305,622,705,697.40, 458,434,058,546.10 and 305,622,705,697.40

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Solution

The fourth proportional to 305,622,705,697.40, 458,434,058,546.10 and 305,622,705,697.40 is: 458,434,058,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,622,705,697.40 : 458,434,058,546.10 = 305,622,705,697.40 : x
  2. Step 2: Convert to fraction form
    305,622,705,697.40/458,434,058,546.10 = 305,622,705,697.40/x
  3. Step 3: Cross multiply
    305,622,705,697.40x = 458,434,058,546.10 × 305,622,705,697.40
  4. Step 4: Simplify right side
    305,622,705,697.40x = 140,107,857,356,699,369,209,856
  5. Step 5: Solve for x
    x = 140,107,857,356,699,369,209,856/305,622,705,697.40
  6. Step 6: Final answer
    x = 458,434,058,546.10

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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.