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Finding the Fourth Proportional to 172,993,886,997.60, 259,490,830,496.40 and 172,993,886,997.60

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Solution

The fourth proportional to 172,993,886,997.60, 259,490,830,496.40 and 172,993,886,997.60 is: 259,490,830,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993,886,997.60 : 259,490,830,496.40 = 172,993,886,997.60 : x
  2. Step 2: Convert to fraction form
    172,993,886,997.60/259,490,830,496.40 = 172,993,886,997.60/x
  3. Step 3: Cross multiply
    172,993,886,997.60x = 259,490,830,496.40 × 172,993,886,997.60
  4. Step 4: Simplify right side
    172,993,886,997.60x = 44,890,327,407,807,594,233,856
  5. Step 5: Solve for x
    x = 44,890,327,407,807,594,233,856/172,993,886,997.60
  6. Step 6: Final answer
    x = 259,490,830,496.40

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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.