Home / 365,415,184,379.86-548,120,565,775.25-198,781,646,253.46

Finding the Fourth Proportional to 365,415,184,379.86, 548,120,565,775.25 and 198,781,646,253.46

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Solution

The fourth proportional to 365,415,184,379.86, 548,120,565,775.25 and 198,781,646,253.46 is: 298,171,266,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415,184,379.86 : 548,120,565,775.25 = 198,781,646,253.46 : x
  2. Step 2: Convert to fraction form
    365,415,184,379.86/548,120,565,775.25 = 198,781,646,253.46/x
  3. Step 3: Cross multiply
    365,415,184,379.86x = 548,120,565,775.25 × 198,781,646,253.46
  4. Step 4: Simplify right side
    365,415,184,379.86x = 108,956,308,410,182,097,960,960
  5. Step 5: Solve for x
    x = 108,956,308,410,182,097,960,960/365,415,184,379.86
  6. Step 6: Final answer
    x = 298,171,266,733.46

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Why These Related Problems?

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