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Finding the Fourth Proportional to 158,802,446,595.15, 238,203,669,892.73 and 158,802,446,595.15

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Solution

The fourth proportional to 158,802,446,595.15, 238,203,669,892.73 and 158,802,446,595.15 is: 238,203,669,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,802,446,595.15 : 238,203,669,892.73 = 158,802,446,595.15 : x
  2. Step 2: Convert to fraction form
    158,802,446,595.15/238,203,669,892.73 = 158,802,446,595.15/x
  3. Step 3: Cross multiply
    158,802,446,595.15x = 238,203,669,892.73 × 158,802,446,595.15
  4. Step 4: Simplify right side
    158,802,446,595.15x = 37,827,325,566,908,995,993,600
  5. Step 5: Solve for x
    x = 37,827,325,566,908,995,993,600/158,802,446,595.15
  6. Step 6: Final answer
    x = 238,203,669,892.73

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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.