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Finding the Fourth Proportional to 590,491,412.70, 885,737,119.05 and 360,908,900.70

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Solution

The fourth proportional to 590,491,412.70, 885,737,119.05 and 360,908,900.70 is: 541,363,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,491,412.70 : 885,737,119.05 = 360,908,900.70 : x
  2. Step 2: Convert to fraction form
    590,491,412.70/885,737,119.05 = 360,908,900.70/x
  3. Step 3: Cross multiply
    590,491,412.70x = 885,737,119.05 × 360,908,900.70
  4. Step 4: Simplify right side
    590,491,412.70x = 319,670,409,945,520,512
  5. Step 5: Solve for x
    x = 319,670,409,945,520,512/590,491,412.70
  6. Step 6: Final answer
    x = 541,363,351.05

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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.