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Finding the Fourth Proportional to 331,314,409,851.90, 496,971,614,777.86 and 331,314,409,851.90

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Solution

The fourth proportional to 331,314,409,851.90, 496,971,614,777.86 and 331,314,409,851.90 is: 496,971,614,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,409,851.90 : 496,971,614,777.86 = 331,314,409,851.90 : x
  2. Step 2: Convert to fraction form
    331,314,409,851.90/496,971,614,777.86 = 331,314,409,851.90/x
  3. Step 3: Cross multiply
    331,314,409,851.90x = 496,971,614,777.86 × 331,314,409,851.90
  4. Step 4: Simplify right side
    331,314,409,851.90x = 164,653,857,263,272,484,405,248
  5. Step 5: Solve for x
    x = 164,653,857,263,272,484,405,248/331,314,409,851.90
  6. Step 6: Final answer
    x = 496,971,614,777.86

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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.