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Finding the Fourth Proportional to 1,092,156,336.80, 1,638,234,505.20 and 1,092,156,336.80

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Solution

The fourth proportional to 1,092,156,336.80, 1,638,234,505.20 and 1,092,156,336.80 is: 1,638,234,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,156,336.80 : 1,638,234,505.20 = 1,092,156,336.80 : x
  2. Step 2: Convert to fraction form
    1,092,156,336.80/1,638,234,505.20 = 1,092,156,336.80/x
  3. Step 3: Cross multiply
    1,092,156,336.80x = 1,638,234,505.20 × 1,092,156,336.80
  4. Step 4: Simplify right side
    1,092,156,336.80x = 1,789,208,196,018,592,512
  5. Step 5: Solve for x
    x = 1,789,208,196,018,592,512/1,092,156,336.80
  6. Step 6: Final answer
    x = 1,638,234,505.20

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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.