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Finding the Fourth Proportional to 422,820,998.90, 634,231,498.35 and 422,820,998.90

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Solution

The fourth proportional to 422,820,998.90, 634,231,498.35 and 422,820,998.90 is: 634,231,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,820,998.90 : 634,231,498.35 = 422,820,998.90 : x
  2. Step 2: Convert to fraction form
    422,820,998.90/634,231,498.35 = 422,820,998.90/x
  3. Step 3: Cross multiply
    422,820,998.90x = 634,231,498.35 × 422,820,998.90
  4. Step 4: Simplify right side
    422,820,998.90x = 268,166,395,666,190,688
  5. Step 5: Solve for x
    x = 268,166,395,666,190,688/422,820,998.90
  6. Step 6: Final answer
    x = 634,231,498.35

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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.