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Finding the Fourth Proportional to 465,716,197.80, 698,574,296.70 and 413,760,076.20

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Solution

The fourth proportional to 465,716,197.80, 698,574,296.70 and 413,760,076.20 is: 620,640,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,716,197.80 : 698,574,296.70 = 413,760,076.20 : x
  2. Step 2: Convert to fraction form
    465,716,197.80/698,574,296.70 = 413,760,076.20/x
  3. Step 3: Cross multiply
    465,716,197.80x = 698,574,296.70 × 413,760,076.20
  4. Step 4: Simplify right side
    465,716,197.80x = 289,042,154,233,953,408
  5. Step 5: Solve for x
    x = 289,042,154,233,953,408/465,716,197.80
  6. Step 6: Final answer
    x = 620,640,114.30

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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.