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Finding the Fourth Proportional to 104,029,576,032.30, 156,044,364,048.45 and 104,029,576,032.30

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Solution

The fourth proportional to 104,029,576,032.30, 156,044,364,048.45 and 104,029,576,032.30 is: 156,044,364,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,029,576,032.30 : 156,044,364,048.45 = 104,029,576,032.30 : x
  2. Step 2: Convert to fraction form
    104,029,576,032.30/156,044,364,048.45 = 104,029,576,032.30/x
  3. Step 3: Cross multiply
    104,029,576,032.30x = 156,044,364,048.45 × 104,029,576,032.30
  4. Step 4: Simplify right side
    104,029,576,032.30x = 16,233,229,034,190,131,953,664
  5. Step 5: Solve for x
    x = 16,233,229,034,190,131,953,664/104,029,576,032.30
  6. Step 6: Final answer
    x = 156,044,364,048.45

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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.