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Finding the Fourth Proportional to 725,163,836.40, 1,000,694,801.88 and 411,897,075.12

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Solution

The fourth proportional to 725,163,836.40, 1,000,694,801.88 and 411,897,075.12 is: 568,400,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,163,836.40 : 1,000,694,801.88 = 411,897,075.12 : x
  2. Step 2: Convert to fraction form
    725,163,836.40/1,000,694,801.88 = 411,897,075.12/x
  3. Step 3: Cross multiply
    725,163,836.40x = 1,000,694,801.88 × 411,897,075.12
  4. Step 4: Simplify right side
    725,163,836.40x = 412,183,261,982,159,872
  5. Step 5: Solve for x
    x = 412,183,261,982,159,872/725,163,836.40
  6. Step 6: Final answer
    x = 568,400,189.44

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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.