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Finding the Fourth Proportional to 210,846,998.08, 290,764,443.96 and 164,420,312.32

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Solution

The fourth proportional to 210,846,998.08, 290,764,443.96 and 164,420,312.32 is: 226,740,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,846,998.08 : 290,764,443.96 = 164,420,312.32 : x
  2. Step 2: Convert to fraction form
    210,846,998.08/290,764,443.96 = 164,420,312.32/x
  3. Step 3: Cross multiply
    210,846,998.08x = 290,764,443.96 × 164,420,312.32
  4. Step 4: Simplify right side
    210,846,998.08x = 47,807,580,687,454,328
  5. Step 5: Solve for x
    x = 47,807,580,687,454,328/210,846,998.08
  6. Step 6: Final answer
    x = 226,740,627.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.