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Finding the Fourth Proportional to 465,716,193.80, 698,574,290.70 and 413,760,072.20

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Solution

The fourth proportional to 465,716,193.80, 698,574,290.70 and 413,760,072.20 is: 620,640,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,716,193.80 : 698,574,290.70 = 413,760,072.20 : x
  2. Step 2: Convert to fraction form
    465,716,193.80/698,574,290.70 = 413,760,072.20/x
  3. Step 3: Cross multiply
    465,716,193.80x = 698,574,290.70 × 413,760,072.20
  4. Step 4: Simplify right side
    465,716,193.80x = 289,042,148,957,095,808
  5. Step 5: Solve for x
    x = 289,042,148,957,095,808/465,716,193.80
  6. Step 6: Final answer
    x = 620,640,108.30

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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.