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Finding the Fourth Proportional to 598,765,892.40, 898,279,475.40 and 340,105,028.40

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Solution

The fourth proportional to 598,765,892.40, 898,279,475.40 and 340,105,028.40 is: 510,231,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,765,892.40 : 898,279,475.40 = 340,105,028.40 : x
  2. Step 2: Convert to fraction form
    598,765,892.40/898,279,475.40 = 340,105,028.40/x
  3. Step 3: Cross multiply
    598,765,892.40x = 898,279,475.40 × 340,105,028.40
  4. Step 4: Simplify right side
    598,765,892.40x = 305,509,366,492,054,080
  5. Step 5: Solve for x
    x = 305,509,366,492,054,080/598,765,892.40
  6. Step 6: Final answer
    x = 510,231,745.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.