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Finding the Fourth Proportional to 580,100,447.80, 870,150,671.70 and 197,147,999.80

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Solution

The fourth proportional to 580,100,447.80, 870,150,671.70 and 197,147,999.80 is: 295,721,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,100,447.80 : 870,150,671.70 = 197,147,999.80 : x
  2. Step 2: Convert to fraction form
    580,100,447.80/870,150,671.70 = 197,147,999.80/x
  3. Step 3: Cross multiply
    580,100,447.80x = 870,150,671.70 × 197,147,999.80
  4. Step 4: Simplify right side
    580,100,447.80x = 171,548,464,450,281,472
  5. Step 5: Solve for x
    x = 171,548,464,450,281,472/580,100,447.80
  6. Step 6: Final answer
    x = 295,721,999.70

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1.5x scale

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.