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Finding the Fourth Proportional to 612,822,380, 844,706,961.42 and 414,511,554.20

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Solution

The fourth proportional to 612,822,380, 844,706,961.42 and 414,511,554.20 is: 571,357,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,822,380 : 844,706,961.42 = 414,511,554.20 : x
  2. Step 2: Convert to fraction form
    612,822,380/844,706,961.42 = 414,511,554.20/x
  3. Step 3: Cross multiply
    612,822,380x = 844,706,961.42 × 414,511,554.20
  4. Step 4: Simplify right side
    612,822,380x = 350,140,795,421,763,584
  5. Step 5: Solve for x
    x = 350,140,795,421,763,584/612,822,380
  6. Step 6: Final answer
    x = 571,357,716.12

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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.