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Finding the Fourth Proportional to 283,472,393,234.80, 425,208,589,852.20 and 283,472,393,234.80

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Solution

The fourth proportional to 283,472,393,234.80, 425,208,589,852.20 and 283,472,393,234.80 is: 425,208,589,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,472,393,234.80 : 425,208,589,852.20 = 283,472,393,234.80 : x
  2. Step 2: Convert to fraction form
    283,472,393,234.80/425,208,589,852.20 = 283,472,393,234.80/x
  3. Step 3: Cross multiply
    283,472,393,234.80x = 425,208,589,852.20 × 283,472,393,234.80
  4. Step 4: Simplify right side
    283,472,393,234.80x = 120,534,896,589,397,618,065,408
  5. Step 5: Solve for x
    x = 120,534,896,589,397,618,065,408/283,472,393,234.80
  6. Step 6: Final answer
    x = 425,208,589,852.20

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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.