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Finding the Fourth Proportional to 331,314,409,827.90, 496,971,614,741.85 and 331,314,409,827.90

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Solution

The fourth proportional to 331,314,409,827.90, 496,971,614,741.85 and 331,314,409,827.90 is: 496,971,614,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,409,827.90 : 496,971,614,741.85 = 331,314,409,827.90 : x
  2. Step 2: Convert to fraction form
    331,314,409,827.90/496,971,614,741.85 = 331,314,409,827.90/x
  3. Step 3: Cross multiply
    331,314,409,827.90x = 496,971,614,741.85 × 331,314,409,827.90
  4. Step 4: Simplify right side
    331,314,409,827.90x = 164,653,857,239,414,511,501,312
  5. Step 5: Solve for x
    x = 164,653,857,239,414,511,501,312/331,314,409,827.90
  6. Step 6: Final answer
    x = 496,971,614,741.85

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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.