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Finding the Fourth Proportional to 1,132,907,266.71, 1,699,542,501.71 and 477,954,766.47

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Solution

The fourth proportional to 1,132,907,266.71, 1,699,542,501.71 and 477,954,766.47 is: 717,008,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,907,266.71 : 1,699,542,501.71 = 477,954,766.47 : x
  2. Step 2: Convert to fraction form
    1,132,907,266.71/1,699,542,501.71 = 477,954,766.47/x
  3. Step 3: Cross multiply
    1,132,907,266.71x = 1,699,542,501.71 × 477,954,766.47
  4. Step 4: Simplify right side
    1,132,907,266.71x = 812,304,439,508,252,800
  5. Step 5: Solve for x
    x = 812,304,439,508,252,800/1,132,907,266.71
  6. Step 6: Final answer
    x = 717,008,764.42

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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.