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Finding the Fourth Proportional to 402,930,709.20, 604,396,063.80 and 322,309,141.20

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Solution

The fourth proportional to 402,930,709.20, 604,396,063.80 and 322,309,141.20 is: 483,463,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,930,709.20 : 604,396,063.80 = 322,309,141.20 : x
  2. Step 2: Convert to fraction form
    402,930,709.20/604,396,063.80 = 322,309,141.20/x
  3. Step 3: Cross multiply
    402,930,709.20x = 604,396,063.80 × 322,309,141.20
  4. Step 4: Simplify right side
    402,930,709.20x = 194,802,376,268,038,400
  5. Step 5: Solve for x
    x = 194,802,376,268,038,400/402,930,709.20
  6. Step 6: Final answer
    x = 483,463,711.80

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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.