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Finding the Fourth Proportional to 331,314,412,905.40, 496,971,619,358.08 and 331,314,412,905.40

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Solution

The fourth proportional to 331,314,412,905.40, 496,971,619,358.08 and 331,314,412,905.40 is: 496,971,619,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,412,905.40 : 496,971,619,358.08 = 331,314,412,905.40 : x
  2. Step 2: Convert to fraction form
    331,314,412,905.40/496,971,619,358.08 = 331,314,412,905.40/x
  3. Step 3: Cross multiply
    331,314,412,905.40x = 496,971,619,358.08 × 331,314,412,905.40
  4. Step 4: Simplify right side
    331,314,412,905.40x = 164,653,860,298,268,208,005,120
  5. Step 5: Solve for x
    x = 164,653,860,298,268,208,005,120/331,314,412,905.40
  6. Step 6: Final answer
    x = 496,971,619,358.08

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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.