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Finding the Fourth Proportional to 678,574,591.08, 936,508,762 and 410,797,964.58

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Solution

The fourth proportional to 678,574,591.08, 936,508,762 and 410,797,964.58 is: 566,947,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,574,591.08 : 936,508,762 = 410,797,964.58 : x
  2. Step 2: Convert to fraction form
    678,574,591.08/936,508,762 = 410,797,964.58/x
  3. Step 3: Cross multiply
    678,574,591.08x = 936,508,762 × 410,797,964.58
  4. Step 4: Simplify right side
    678,574,591.08x = 384,715,893,240,935,616
  5. Step 5: Solve for x
    x = 384,715,893,240,935,616/678,574,591.08
  6. Step 6: Final answer
    x = 566,947,095.13

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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.