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Finding the Fourth Proportional to 509,360,566.80, 702,418,224.80 and 323,398,732.08

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Solution

The fourth proportional to 509,360,566.80, 702,418,224.80 and 323,398,732.08 is: 445,973,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,360,566.80 : 702,418,224.80 = 323,398,732.08 : x
  2. Step 2: Convert to fraction form
    509,360,566.80/702,418,224.80 = 323,398,732.08/x
  3. Step 3: Cross multiply
    509,360,566.80x = 702,418,224.80 × 323,398,732.08
  4. Step 4: Simplify right side
    509,360,566.80x = 227,161,163,290,204,384
  5. Step 5: Solve for x
    x = 227,161,163,290,204,384/509,360,566.80
  6. Step 6: Final answer
    x = 445,973,202.67

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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.