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Finding the Fourth Proportional to 505,229,201.09, 697,898,706.11 and 380,722,538.21

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Solution

The fourth proportional to 505,229,201.09, 697,898,706.11 and 380,722,538.21 is: 525,911,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,229,201.09 : 697,898,706.11 = 380,722,538.21 : x
  2. Step 2: Convert to fraction form
    505,229,201.09/697,898,706.11 = 380,722,538.21/x
  3. Step 3: Cross multiply
    505,229,201.09x = 697,898,706.11 × 380,722,538.21
  4. Step 4: Simplify right side
    505,229,201.09x = 265,705,766,801,770,400
  5. Step 5: Solve for x
    x = 265,705,766,801,770,400/505,229,201.09
  6. Step 6: Final answer
    x = 525,911,341.29

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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.