Finding the Fourth Proportional to 1,619,624,822,270.10, 2,429,178,623,045.80 and 471,988,603,523.20
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Solution
The fourth proportional to 1,619,624,822,270.10, 2,429,178,623,045.80 and 471,988,603,523.20 is: 707,907,541,447.02
Step by Step Solution
- Step 1: Write the proportion equation
1,619,624,822,270.10 : 2,429,178,623,045.80 = 471,988,603,523.20 : x - Step 2: Convert to fraction form
1,619,624,822,270.10/2,429,178,623,045.80 = 471,988,603,523.20/x - Step 3: Cross multiply
1,619,624,822,270.10x = 2,429,178,623,045.80 × 471,988,603,523.20 - Step 4: Simplify right side
1,619,624,822,270.10x = 1,146,544,625,999,796,892,598,272 - Step 5: Solve for x
x = 1,146,544,625,999,796,892,598,272/1,619,624,822,270.10 - Step 6: Final answer
x = 707,907,541,447.02
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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.