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Finding the Fourth Proportional to 382,626,288,049.80, 573,939,432,074.70 and 382,626,288,049.80

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Solution

The fourth proportional to 382,626,288,049.80, 573,939,432,074.70 and 382,626,288,049.80 is: 573,939,432,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,288,049.80 : 573,939,432,074.70 = 382,626,288,049.80 : x
  2. Step 2: Convert to fraction form
    382,626,288,049.80/573,939,432,074.70 = 382,626,288,049.80/x
  3. Step 3: Cross multiply
    382,626,288,049.80x = 573,939,432,074.70 × 382,626,288,049.80
  4. Step 4: Simplify right side
    382,626,288,049.80x = 219,604,314,460,152,758,534,144
  5. Step 5: Solve for x
    x = 219,604,314,460,152,758,534,144/382,626,288,049.80
  6. Step 6: Final answer
    x = 573,939,432,074.70

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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.