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Finding the Fourth Proportional to 194,953,555,102.80, 291,965,428,067.40 and 194,953,555,102.80

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Solution

The fourth proportional to 194,953,555,102.80, 291,965,428,067.40 and 194,953,555,102.80 is: 291,965,428,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953,555,102.80 : 291,965,428,067.40 = 194,953,555,102.80 : x
  2. Step 2: Convert to fraction form
    194,953,555,102.80/291,965,428,067.40 = 194,953,555,102.80/x
  3. Step 3: Cross multiply
    194,953,555,102.80x = 291,965,428,067.40 × 194,953,555,102.80
  4. Step 4: Simplify right side
    194,953,555,102.80x = 56,919,698,168,850,453,364,736
  5. Step 5: Solve for x
    x = 56,919,698,168,850,453,364,736/194,953,555,102.80
  6. Step 6: Final answer
    x = 291,965,428,067.40

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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.