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Finding the Fourth Proportional to 40,099,042,512.70, 60,148,563,769.05 and 40,099,042,512.70

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Solution

The fourth proportional to 40,099,042,512.70, 60,148,563,769.05 and 40,099,042,512.70 is: 60,148,563,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,099,042,512.70 : 60,148,563,769.05 = 40,099,042,512.70 : x
  2. Step 2: Convert to fraction form
    40,099,042,512.70/60,148,563,769.05 = 40,099,042,512.70/x
  3. Step 3: Cross multiply
    40,099,042,512.70x = 60,148,563,769.05 × 40,099,042,512.70
  4. Step 4: Simplify right side
    40,099,042,512.70x = 2,411,899,815,652,983,046,144
  5. Step 5: Solve for x
    x = 2,411,899,815,652,983,046,144/40,099,042,512.70
  6. Step 6: Final answer
    x = 60,148,563,769.05

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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.