Home / 1,020,224,410,076.50-1,530,342,335,620.20-340,300,900,135.38

Finding the Fourth Proportional to 1,020,224,410,076.50, 1,530,342,335,620.20 and 340,300,900,135.38

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Solution

The fourth proportional to 1,020,224,410,076.50, 1,530,342,335,620.20 and 340,300,900,135.38 is: 510,453,258,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,224,410,076.50 : 1,530,342,335,620.20 = 340,300,900,135.38 : x
  2. Step 2: Convert to fraction form
    1,020,224,410,076.50/1,530,342,335,620.20 = 340,300,900,135.38/x
  3. Step 3: Cross multiply
    1,020,224,410,076.50x = 1,530,342,335,620.20 × 340,300,900,135.38
  4. Step 4: Simplify right side
    1,020,224,410,076.50x = 520,776,874,326,833,827,414,016
  5. Step 5: Solve for x
    x = 520,776,874,326,833,827,414,016/1,020,224,410,076.50
  6. Step 6: Final answer
    x = 510,453,258,305.97

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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.