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Finding the Fourth Proportional to 157,423,867,296.09, 236,135,800,944.11 and 157,423,867,296.09

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Solution

The fourth proportional to 157,423,867,296.09, 236,135,800,944.11 and 157,423,867,296.09 is: 236,135,800,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,867,296.09 : 236,135,800,944.11 = 157,423,867,296.09 : x
  2. Step 2: Convert to fraction form
    157,423,867,296.09/236,135,800,944.11 = 157,423,867,296.09/x
  3. Step 3: Cross multiply
    157,423,867,296.09x = 236,135,800,944.11 × 157,423,867,296.09
  4. Step 4: Simplify right side
    157,423,867,296.09x = 37,173,410,991,681,493,270,528
  5. Step 5: Solve for x
    x = 37,173,410,991,681,493,270,528/157,423,867,296.09
  6. Step 6: Final answer
    x = 236,135,800,944.11

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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.