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Finding the Fourth Proportional to 159,698,258.94, 239,566,511.90 and 49,019,431.51

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Solution

The fourth proportional to 159,698,258.94, 239,566,511.90 and 49,019,431.51 is: 73,535,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,698,258.94 : 239,566,511.90 = 49,019,431.51 : x
  2. Step 2: Convert to fraction form
    159,698,258.94/239,566,511.90 = 49,019,431.51/x
  3. Step 3: Cross multiply
    159,698,258.94x = 239,566,511.90 × 49,019,431.51
  4. Step 4: Simplify right side
    159,698,258.94x = 11,743,414,222,171,650
  5. Step 5: Solve for x
    x = 11,743,414,222,171,650/159,698,258.94
  6. Step 6: Final answer
    x = 73,535,017.23

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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.