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Finding the Fourth Proportional to 104,029,576,022.80, 156,044,364,034.20 and 104,029,576,022.80

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Solution

The fourth proportional to 104,029,576,022.80, 156,044,364,034.20 and 104,029,576,022.80 is: 156,044,364,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,029,576,022.80 : 156,044,364,034.20 = 104,029,576,022.80 : x
  2. Step 2: Convert to fraction form
    104,029,576,022.80/156,044,364,034.20 = 104,029,576,022.80/x
  3. Step 3: Cross multiply
    104,029,576,022.80x = 156,044,364,034.20 × 104,029,576,022.80
  4. Step 4: Simplify right side
    104,029,576,022.80x = 16,233,229,031,225,289,605,120
  5. Step 5: Solve for x
    x = 16,233,229,031,225,289,605,120/104,029,576,022.80
  6. Step 6: Final answer
    x = 156,044,364,034.20

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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.