Finding the Fourth Proportional to 12,021,805,647.68, 16,583,199,121.50 and 7,497,830,523.18
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Solution
The fourth proportional to 12,021,805,647.68, 16,583,199,121.50 and 7,497,830,523.18 is: 10,342,707,259.55
Step by Step Solution
- Step 1: Write the proportion equation
12,021,805,647.68 : 16,583,199,121.50 = 7,497,830,523.18 : x - Step 2: Convert to fraction form
12,021,805,647.68/16,583,199,121.50 = 7,497,830,523.18/x - Step 3: Cross multiply
12,021,805,647.68x = 16,583,199,121.50 × 7,497,830,523.18 - Step 4: Simplify right side
12,021,805,647.68x = 124,338,016,545,154,465,792 - Step 5: Solve for x
x = 124,338,016,545,154,465,792/12,021,805,647.68 - Step 6: Final answer
x = 10,342,707,259.55
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1.5x scale
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.