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Finding the Fourth Proportional to 161,490,684,006.60, 242,236,026,009.90 and 161,490,684,006.60

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Solution

The fourth proportional to 161,490,684,006.60, 242,236,026,009.90 and 161,490,684,006.60 is: 242,236,026,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,490,684,006.60 : 242,236,026,009.90 = 161,490,684,006.60 : x
  2. Step 2: Convert to fraction form
    161,490,684,006.60/242,236,026,009.90 = 161,490,684,006.60/x
  3. Step 3: Cross multiply
    161,490,684,006.60x = 242,236,026,009.90 × 161,490,684,006.60
  4. Step 4: Simplify right side
    161,490,684,006.60x = 39,118,861,531,379,300,040,704
  5. Step 5: Solve for x
    x = 39,118,861,531,379,300,040,704/161,490,684,006.60
  6. Step 6: Final answer
    x = 242,236,026,009.90

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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.