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Finding the Fourth Proportional to 659,651,382.60, 989,589,048.30 and 199,585,897.80

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Solution

The fourth proportional to 659,651,382.60, 989,589,048.30 and 199,585,897.80 is: 299,412,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,651,382.60 : 989,589,048.30 = 199,585,897.80 : x
  2. Step 2: Convert to fraction form
    659,651,382.60/989,589,048.30 = 199,585,897.80/x
  3. Step 3: Cross multiply
    659,651,382.60x = 989,589,048.30 × 199,585,897.80
  4. Step 4: Simplify right side
    659,651,382.60x = 197,508,018,658,003,072
  5. Step 5: Solve for x
    x = 197,508,018,658,003,072/659,651,382.60
  6. Step 6: Final answer
    x = 299,412,725.98

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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.