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Finding the Fourth Proportional to 157,224,194,429.70, 235,836,291,644.55 and 157,224,194,429.70

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Solution

The fourth proportional to 157,224,194,429.70, 235,836,291,644.55 and 157,224,194,429.70 is: 235,836,291,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224,194,429.70 : 235,836,291,644.55 = 157,224,194,429.70 : x
  2. Step 2: Convert to fraction form
    157,224,194,429.70/235,836,291,644.55 = 157,224,194,429.70/x
  3. Step 3: Cross multiply
    157,224,194,429.70x = 235,836,291,644.55 × 157,224,194,429.70
  4. Step 4: Simplify right side
    157,224,194,429.70x = 37,079,170,971,102,162,714,624
  5. Step 5: Solve for x
    x = 37,079,170,971,102,162,714,624/157,224,194,429.70
  6. Step 6: Final answer
    x = 235,836,291,644.55

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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.