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Finding the Fourth Proportional to 417,540,383,999.60, 626,310,575,999.40 and 417,540,383,999.60

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Solution

The fourth proportional to 417,540,383,999.60, 626,310,575,999.40 and 417,540,383,999.60 is: 626,310,575,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,540,383,999.60 : 626,310,575,999.40 = 417,540,383,999.60 : x
  2. Step 2: Convert to fraction form
    417,540,383,999.60/626,310,575,999.40 = 417,540,383,999.60/x
  3. Step 3: Cross multiply
    417,540,383,999.60x = 626,310,575,999.40 × 417,540,383,999.60
  4. Step 4: Simplify right side
    417,540,383,999.60x = 261,509,958,405,800,123,695,104
  5. Step 5: Solve for x
    x = 261,509,958,405,800,123,695,104/417,540,383,999.60
  6. Step 6: Final answer
    x = 626,310,575,999.40

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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.