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Finding the Fourth Proportional to 172,219,104,034.40, 258,328,656,051.60 and 172,219,104,034.40

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Solution

The fourth proportional to 172,219,104,034.40, 258,328,656,051.60 and 172,219,104,034.40 is: 258,328,656,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,219,104,034.40 : 258,328,656,051.60 = 172,219,104,034.40 : x
  2. Step 2: Convert to fraction form
    172,219,104,034.40/258,328,656,051.60 = 172,219,104,034.40/x
  3. Step 3: Cross multiply
    172,219,104,034.40x = 258,328,656,051.60 × 172,219,104,034.40
  4. Step 4: Simplify right side
    172,219,104,034.40x = 44,489,129,691,617,232,420,864
  5. Step 5: Solve for x
    x = 44,489,129,691,617,232,420,864/172,219,104,034.40
  6. Step 6: Final answer
    x = 258,328,656,051.60

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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.