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Finding the Fourth Proportional to 505,472,003.70, 758,208,005.55 and 413,638,998.90

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Solution

The fourth proportional to 505,472,003.70, 758,208,005.55 and 413,638,998.90 is: 620,458,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,472,003.70 : 758,208,005.55 = 413,638,998.90 : x
  2. Step 2: Convert to fraction form
    505,472,003.70/758,208,005.55 = 413,638,998.90/x
  3. Step 3: Cross multiply
    505,472,003.70x = 758,208,005.55 × 413,638,998.90
  4. Step 4: Simplify right side
    505,472,003.70x = 313,624,400,373,667,584
  5. Step 5: Solve for x
    x = 313,624,400,373,667,584/505,472,003.70
  6. Step 6: Final answer
    x = 620,458,498.35

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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.