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Finding the Fourth Proportional to 115,211,577,207.67, 172,817,365,811.51 and 115,211,577,207.67

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Solution

The fourth proportional to 115,211,577,207.67, 172,817,365,811.51 and 115,211,577,207.67 is: 172,817,365,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211,577,207.67 : 172,817,365,811.51 = 115,211,577,207.67 : x
  2. Step 2: Convert to fraction form
    115,211,577,207.67/172,817,365,811.51 = 115,211,577,207.67/x
  3. Step 3: Cross multiply
    115,211,577,207.67x = 172,817,365,811.51 × 115,211,577,207.67
  4. Step 4: Simplify right side
    115,211,577,207.67x = 19,910,561,284,018,933,858,304
  5. Step 5: Solve for x
    x = 19,910,561,284,018,933,858,304/115,211,577,207.67
  6. Step 6: Final answer
    x = 172,817,365,811.51

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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.