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Finding the Fourth Proportional to 707,004,940.50, 975,593,419.74 and 435,382,232.88

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Solution

The fourth proportional to 707,004,940.50, 975,593,419.74 and 435,382,232.88 is: 600,782,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,004,940.50 : 975,593,419.74 = 435,382,232.88 : x
  2. Step 2: Convert to fraction form
    707,004,940.50/975,593,419.74 = 435,382,232.88/x
  3. Step 3: Cross multiply
    707,004,940.50x = 975,593,419.74 × 435,382,232.88
  4. Step 4: Simplify right side
    707,004,940.50x = 424,756,041,469,436,288
  5. Step 5: Solve for x
    x = 424,756,041,469,436,288/707,004,940.50
  6. Step 6: Final answer
    x = 600,782,281.90

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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.