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Finding the Fourth Proportional to 417,540,394,009.35, 626,310,591,014.02 and 417,540,394,009.35

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Solution

The fourth proportional to 417,540,394,009.35, 626,310,591,014.02 and 417,540,394,009.35 is: 626,310,591,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,540,394,009.35 : 626,310,591,014.02 = 417,540,394,009.35 : x
  2. Step 2: Convert to fraction form
    417,540,394,009.35/626,310,591,014.02 = 417,540,394,009.35/x
  3. Step 3: Cross multiply
    417,540,394,009.35x = 626,310,591,014.02 × 417,540,394,009.35
  4. Step 4: Simplify right side
    417,540,394,009.35x = 261,509,970,944,222,772,068,352
  5. Step 5: Solve for x
    x = 261,509,970,944,222,772,068,352/417,540,394,009.35
  6. Step 6: Final answer
    x = 626,310,591,014.02

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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.