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Finding the Fourth Proportional to 188,588,735,998.40, 282,883,103,997.60 and 188,588,735,998.40

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Solution

The fourth proportional to 188,588,735,998.40, 282,883,103,997.60 and 188,588,735,998.40 is: 282,883,103,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,588,735,998.40 : 282,883,103,997.60 = 188,588,735,998.40 : x
  2. Step 2: Convert to fraction form
    188,588,735,998.40/282,883,103,997.60 = 188,588,735,998.40/x
  3. Step 3: Cross multiply
    188,588,735,998.40x = 282,883,103,997.60 × 188,588,735,998.40
  4. Step 4: Simplify right side
    188,588,735,998.40x = 53,348,567,018,211,312,140,288
  5. Step 5: Solve for x
    x = 53,348,567,018,211,312,140,288/188,588,735,998.40
  6. Step 6: Final answer
    x = 282,883,103,997.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.