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Finding the Fourth Proportional to 307,383,268.32, 461,040,826.32 and 77,352,415.20

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Solution

The fourth proportional to 307,383,268.32, 461,040,826.32 and 77,352,415.20 is: 116,020,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,383,268.32 : 461,040,826.32 = 77,352,415.20 : x
  2. Step 2: Convert to fraction form
    307,383,268.32/461,040,826.32 = 77,352,415.20/x
  3. Step 3: Cross multiply
    307,383,268.32x = 461,040,826.32 × 77,352,415.20
  4. Step 4: Simplify right side
    307,383,268.32x = 35,662,621,421,655,728
  5. Step 5: Solve for x
    x = 35,662,621,421,655,728/307,383,268.32
  6. Step 6: Final answer
    x = 116,020,047.60

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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.