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Finding the Fourth Proportional to 66,785,620,512.83, 100,178,430,769.24 and 66,785,620,512.83

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Solution

The fourth proportional to 66,785,620,512.83, 100,178,430,769.24 and 66,785,620,512.83 is: 100,178,430,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,785,620,512.83 : 100,178,430,769.24 = 66,785,620,512.83 : x
  2. Step 2: Convert to fraction form
    66,785,620,512.83/100,178,430,769.24 = 66,785,620,512.83/x
  3. Step 3: Cross multiply
    66,785,620,512.83x = 100,178,430,769.24 × 66,785,620,512.83
  4. Step 4: Simplify right side
    66,785,620,512.83x = 6,690,478,660,924,774,285,312
  5. Step 5: Solve for x
    x = 6,690,478,660,924,774,285,312/66,785,620,512.83
  6. Step 6: Final answer
    x = 100,178,430,769.24

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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.