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Finding the Fourth Proportional to 746,449,662.94, 1,030,100,978.03 and 416,424,801.94

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Solution

The fourth proportional to 746,449,662.94, 1,030,100,978.03 and 416,424,801.94 is: 574,666,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,449,662.94 : 1,030,100,978.03 = 416,424,801.94 : x
  2. Step 2: Convert to fraction form
    746,449,662.94/1,030,100,978.03 = 416,424,801.94/x
  3. Step 3: Cross multiply
    746,449,662.94x = 1,030,100,978.03 × 416,424,801.94
  4. Step 4: Simplify right side
    746,449,662.94x = 428,959,595,749,706,304
  5. Step 5: Solve for x
    x = 428,959,595,749,706,304/746,449,662.94
  6. Step 6: Final answer
    x = 574,666,473.91

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Why These Related Problems?

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