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Finding the Fourth Proportional to 331,314,411,765.40, 496,971,617,648.08 and 331,314,411,765.40

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Solution

The fourth proportional to 331,314,411,765.40, 496,971,617,648.08 and 331,314,411,765.40 is: 496,971,617,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,411,765.40 : 496,971,617,648.08 = 331,314,411,765.40 : x
  2. Step 2: Convert to fraction form
    331,314,411,765.40/496,971,617,648.08 = 331,314,411,765.40/x
  3. Step 3: Cross multiply
    331,314,411,765.40x = 496,971,617,648.08 × 331,314,411,765.40
  4. Step 4: Simplify right side
    331,314,411,765.40x = 164,653,859,165,172,922,318,848
  5. Step 5: Solve for x
    x = 164,653,859,165,172,922,318,848/331,314,411,765.40
  6. Step 6: Final answer
    x = 496,971,617,648.08

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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.