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Finding the Fourth Proportional to 66,756,099,347.70, 100,134,149,021.56 and 66,756,099,347.70

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Solution

The fourth proportional to 66,756,099,347.70, 100,134,149,021.56 and 66,756,099,347.70 is: 100,134,149,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,756,099,347.70 : 100,134,149,021.56 = 66,756,099,347.70 : x
  2. Step 2: Convert to fraction form
    66,756,099,347.70/100,134,149,021.56 = 66,756,099,347.70/x
  3. Step 3: Cross multiply
    66,756,099,347.70x = 100,134,149,021.56 × 66,756,099,347.70
  4. Step 4: Simplify right side
    66,756,099,347.70x = 6,684,565,200,180,655,161,344
  5. Step 5: Solve for x
    x = 6,684,565,200,180,655,161,344/66,756,099,347.70
  6. Step 6: Final answer
    x = 100,134,149,021.56

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Double scale
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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.