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Finding the Fourth Proportional to 463,574,015,998.20, 695,361,023,997.32 and 463,574,015,998.20

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Solution

The fourth proportional to 463,574,015,998.20, 695,361,023,997.32 and 463,574,015,998.20 is: 695,361,023,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,015,998.20 : 695,361,023,997.32 = 463,574,015,998.20 : x
  2. Step 2: Convert to fraction form
    463,574,015,998.20/695,361,023,997.32 = 463,574,015,998.20/x
  3. Step 3: Cross multiply
    463,574,015,998.20x = 695,361,023,997.32 × 463,574,015,998.20
  4. Step 4: Simplify right side
    463,574,015,998.20x = 322,351,302,463,058,316,623,872
  5. Step 5: Solve for x
    x = 322,351,302,463,058,316,623,872/463,574,015,998.20
  6. Step 6: Final answer
    x = 695,361,023,997.32

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Double scale
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Similar ratio
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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.