Home / 465,097,973,498.72-641,954,623,164.96-302,921,747,956.64

Finding the Fourth Proportional to 465,097,973,498.72, 641,954,623,164.96 and 302,921,747,956.64

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Solution

The fourth proportional to 465,097,973,498.72, 641,954,623,164.96 and 302,921,747,956.64 is: 418,109,791,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,097,973,498.72 : 641,954,623,164.96 = 302,921,747,956.64 : x
  2. Step 2: Convert to fraction form
    465,097,973,498.72/641,954,623,164.96 = 302,921,747,956.64/x
  3. Step 3: Cross multiply
    465,097,973,498.72x = 641,954,623,164.96 × 302,921,747,956.64
  4. Step 4: Simplify right side
    465,097,973,498.72x = 194,462,016,557,975,808,770,048
  5. Step 5: Solve for x
    x = 194,462,016,557,975,808,770,048/465,097,973,498.72
  6. Step 6: Final answer
    x = 418,109,791,137.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.