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Finding the Fourth Proportional to 115,421,134,235.40, 172,856,202,338.70 and 115,421,134,235.40

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Solution

The fourth proportional to 115,421,134,235.40, 172,856,202,338.70 and 115,421,134,235.40 is: 172,856,202,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,421,134,235.40 : 172,856,202,338.70 = 115,421,134,235.40 : x
  2. Step 2: Convert to fraction form
    115,421,134,235.40/172,856,202,338.70 = 115,421,134,235.40/x
  3. Step 3: Cross multiply
    115,421,134,235.40x = 172,856,202,338.70 × 115,421,134,235.40
  4. Step 4: Simplify right side
    115,421,134,235.40x = 19,951,258,933,556,555,022,336
  5. Step 5: Solve for x
    x = 19,951,258,933,556,555,022,336/115,421,134,235.40
  6. Step 6: Final answer
    x = 172,856,202,338.70

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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.