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Finding the Fourth Proportional to 172,993,886,999.85, 259,490,830,499.78 and 172,993,886,999.85

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Solution

The fourth proportional to 172,993,886,999.85, 259,490,830,499.78 and 172,993,886,999.85 is: 259,490,830,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993,886,999.85 : 259,490,830,499.78 = 172,993,886,999.85 : x
  2. Step 2: Convert to fraction form
    172,993,886,999.85/259,490,830,499.78 = 172,993,886,999.85/x
  3. Step 3: Cross multiply
    172,993,886,999.85x = 259,490,830,499.78 × 172,993,886,999.85
  4. Step 4: Simplify right side
    172,993,886,999.85x = 44,890,327,408,976,169,271,296
  5. Step 5: Solve for x
    x = 44,890,327,408,976,169,271,296/172,993,886,999.85
  6. Step 6: Final answer
    x = 259,490,830,499.78

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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.