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Finding the Fourth Proportional to 409,728,000.30, 614,592,000.45 and 338,949,120.30

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Solution

The fourth proportional to 409,728,000.30, 614,592,000.45 and 338,949,120.30 is: 508,423,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,728,000.30 : 614,592,000.45 = 338,949,120.30 : x
  2. Step 2: Convert to fraction form
    409,728,000.30/614,592,000.45 = 338,949,120.30/x
  3. Step 3: Cross multiply
    409,728,000.30x = 614,592,000.45 × 338,949,120.30
  4. Step 4: Simplify right side
    409,728,000.30x = 208,315,417,895,944,736
  5. Step 5: Solve for x
    x = 208,315,417,895,944,736/409,728,000.30
  6. Step 6: Final answer
    x = 508,423,680.45

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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.