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Finding the Fourth Proportional to 505,857,569.50, 697,869,685.69 and 338,647,703.23

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Solution

The fourth proportional to 505,857,569.50, 697,869,685.69 and 338,647,703.23 is: 467,190,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,857,569.50 : 697,869,685.69 = 338,647,703.23 : x
  2. Step 2: Convert to fraction form
    505,857,569.50/697,869,685.69 = 338,647,703.23/x
  3. Step 3: Cross multiply
    505,857,569.50x = 697,869,685.69 × 338,647,703.23
  4. Step 4: Simplify right side
    505,857,569.50x = 236,331,966,212,760,544
  5. Step 5: Solve for x
    x = 236,331,966,212,760,544/505,857,569.50
  6. Step 6: Final answer
    x = 467,190,728.11

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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.