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Finding the Fourth Proportional to 313,664,749.70, 439,584,145.90 and 313,664,749.70

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Solution

The fourth proportional to 313,664,749.70, 439,584,145.90 and 313,664,749.70 is: 439,584,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,664,749.70 : 439,584,145.90 = 313,664,749.70 : x
  2. Step 2: Convert to fraction form
    313,664,749.70/439,584,145.90 = 313,664,749.70/x
  3. Step 3: Cross multiply
    313,664,749.70x = 439,584,145.90 × 313,664,749.70
  4. Step 4: Simplify right side
    313,664,749.70x = 137,882,051,095,811,776
  5. Step 5: Solve for x
    x = 137,882,051,095,811,776/313,664,749.70
  6. Step 6: Final answer
    x = 439,584,145.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.