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Finding the Fourth Proportional to 490,118,104.82, 735,394,259.16 and 256,893,389.90

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Solution

The fourth proportional to 490,118,104.82, 735,394,259.16 and 256,893,389.90 is: 385,453,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,118,104.82 : 735,394,259.16 = 256,893,389.90 : x
  2. Step 2: Convert to fraction form
    490,118,104.82/735,394,259.16 = 256,893,389.90/x
  3. Step 3: Cross multiply
    490,118,104.82x = 735,394,259.16 × 256,893,389.90
  4. Step 4: Simplify right side
    490,118,104.82x = 188,917,924,148,611,520
  5. Step 5: Solve for x
    x = 188,917,924,148,611,520/490,118,104.82
  6. Step 6: Final answer
    x = 385,453,877.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.