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Finding the Fourth Proportional to 446,937,668.20, 670,406,502.30 and 446,937,668.20

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Solution

The fourth proportional to 446,937,668.20, 670,406,502.30 and 446,937,668.20 is: 670,406,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,937,668.20 : 670,406,502.30 = 446,937,668.20 : x
  2. Step 2: Convert to fraction form
    446,937,668.20/670,406,502.30 = 446,937,668.20/x
  3. Step 3: Cross multiply
    446,937,668.20x = 670,406,502.30 × 446,937,668.20
  4. Step 4: Simplify right side
    446,937,668.20x = 299,629,918,884,079,936
  5. Step 5: Solve for x
    x = 299,629,918,884,079,936/446,937,668.20
  6. Step 6: Final answer
    x = 670,406,502.30

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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.