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Finding the Fourth Proportional to 242,236,020,234.15, 363,354,030,351.22 and 242,236,020,234.15

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Solution

The fourth proportional to 242,236,020,234.15, 363,354,030,351.22 and 242,236,020,234.15 is: 363,354,030,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,236,020,234.15 : 363,354,030,351.22 = 242,236,020,234.15 : x
  2. Step 2: Convert to fraction form
    242,236,020,234.15/363,354,030,351.22 = 242,236,020,234.15/x
  3. Step 3: Cross multiply
    242,236,020,234.15x = 363,354,030,351.22 × 242,236,020,234.15
  4. Step 4: Simplify right side
    242,236,020,234.15x = 88,017,434,248,318,078,156,800
  5. Step 5: Solve for x
    x = 88,017,434,248,318,078,156,800/242,236,020,234.15
  6. Step 6: Final answer
    x = 363,354,030,351.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.