Finding the Fourth Proportional to 5,140,801,289,306, 7,702,728,991,177.40 and 2,985,863,925,955.80
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Solution
The fourth proportional to 5,140,801,289,306, 7,702,728,991,177.40 and 2,985,863,925,955.80 is: 4,473,874,661,137.77
Step by Step Solution
- Step 1: Write the proportion equation
5,140,801,289,306 : 7,702,728,991,177.40 = 2,985,863,925,955.80 : x - Step 2: Convert to fraction form
5,140,801,289,306/7,702,728,991,177.40 = 2,985,863,925,955.80/x - Step 3: Cross multiply
5,140,801,289,306x = 7,702,728,991,177.40 × 2,985,863,925,955.80 - Step 4: Simplify right side
5,140,801,289,306x = 22,999,300,626,170,511,561,326,592 - Step 5: Solve for x
x = 22,999,300,626,170,511,561,326,592/5,140,801,289,306 - Step 6: Final answer
x = 4,473,874,661,137.77
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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.