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Finding the Fourth Proportional to 234,496,604,809.20, 351,744,907,213.80 and 234,496,604,809.20

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Solution

The fourth proportional to 234,496,604,809.20, 351,744,907,213.80 and 234,496,604,809.20 is: 351,744,907,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,496,604,809.20 : 351,744,907,213.80 = 234,496,604,809.20 : x
  2. Step 2: Convert to fraction form
    234,496,604,809.20/351,744,907,213.80 = 234,496,604,809.20/x
  3. Step 3: Cross multiply
    234,496,604,809.20x = 351,744,907,213.80 × 234,496,604,809.20
  4. Step 4: Simplify right side
    234,496,604,809.20x = 82,482,986,500,563,186,745,344
  5. Step 5: Solve for x
    x = 82,482,986,500,563,186,745,344/234,496,604,809.20
  6. Step 6: Final answer
    x = 351,744,907,213.80

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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.