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Finding the Fourth Proportional to 2,018,602,801.24, 3,027,904,201.87 and 2,018,602,801.24

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Solution

The fourth proportional to 2,018,602,801.24, 3,027,904,201.87 and 2,018,602,801.24 is: 3,027,904,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,602,801.24 : 3,027,904,201.87 = 2,018,602,801.24 : x
  2. Step 2: Convert to fraction form
    2,018,602,801.24/3,027,904,201.87 = 2,018,602,801.24/x
  3. Step 3: Cross multiply
    2,018,602,801.24x = 3,027,904,201.87 × 2,018,602,801.24
  4. Step 4: Simplify right side
    2,018,602,801.24x = 6,112,135,903,768,531,968
  5. Step 5: Solve for x
    x = 6,112,135,903,768,531,968/2,018,602,801.24
  6. Step 6: Final answer
    x = 3,027,904,201.87

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Half scale
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Double scale
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Similar ratio
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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.