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Finding the Fourth Proportional to 380,710,611, 525,383,792.46 and 206,870,355

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Solution

The fourth proportional to 380,710,611, 525,383,792.46 and 206,870,355 is: 285,482,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,710,611 : 525,383,792.46 = 206,870,355 : x
  2. Step 2: Convert to fraction form
    380,710,611/525,383,792.46 = 206,870,355/x
  3. Step 3: Cross multiply
    380,710,611x = 525,383,792.46 × 206,870,355
  4. Step 4: Simplify right side
    380,710,611x = 108,686,331,657,446,512
  5. Step 5: Solve for x
    x = 108,686,331,657,446,512/380,710,611
  6. Step 6: Final answer
    x = 285,482,801.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.