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Finding the Fourth Proportional to 598,676,728.40, 897,343,246.20 and 340,015,864.40

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Solution

The fourth proportional to 598,676,728.40, 897,343,246.20 and 340,015,864.40 is: 509,642,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,676,728.40 : 897,343,246.20 = 340,015,864.40 : x
  2. Step 2: Convert to fraction form
    598,676,728.40/897,343,246.20 = 340,015,864.40/x
  3. Step 3: Cross multiply
    598,676,728.40x = 897,343,246.20 × 340,015,864.40
  4. Step 4: Simplify right side
    598,676,728.40x = 305,110,939,520,195,008
  5. Step 5: Solve for x
    x = 305,110,939,520,195,008/598,676,728.40
  6. Step 6: Final answer
    x = 509,642,224.34

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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.