Finding the Fourth Proportional to 21,382,762,070.84, 32,075,368,824.12 and 5,661,178,175.84
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Solution
The fourth proportional to 21,382,762,070.84, 32,075,368,824.12 and 5,661,178,175.84 is: 8,492,091,777.83
Step by Step Solution
- Step 1: Write the proportion equation
21,382,762,070.84 : 32,075,368,824.12 = 5,661,178,175.84 : x - Step 2: Convert to fraction form
21,382,762,070.84/32,075,368,824.12 = 5,661,178,175.84/x - Step 3: Cross multiply
21,382,762,070.84x = 32,075,368,824.12 × 5,661,178,175.84 - Step 4: Simplify right side
21,382,762,070.84x = 181,584,377,969,126,866,944 - Step 5: Solve for x
x = 181,584,377,969,126,866,944/21,382,762,070.84 - Step 6: Final answer
x = 8,492,091,777.83
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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.