Finding the Fourth Proportional to 777,018,064,313.05, 1,072,212,969,178.30 and 429,780,869,701.95
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Solution
The fourth proportional to 777,018,064,313.05, 1,072,212,969,178.30 and 429,780,869,701.95 is: 593,057,798,220.64
Step by Step Solution
- Step 1: Write the proportion equation
777,018,064,313.05 : 1,072,212,969,178.30 = 429,780,869,701.95 : x - Step 2: Convert to fraction form
777,018,064,313.05/1,072,212,969,178.30 = 429,780,869,701.95/x - Step 3: Cross multiply
777,018,064,313.05x = 1,072,212,969,178.30 × 429,780,869,701.95 - Step 4: Simplify right side
777,018,064,313.05x = 460,816,622,399,159,890,083,840 - Step 5: Solve for x
x = 460,816,622,399,159,890,083,840/777,018,064,313.05 - Step 6: Final answer
x = 593,057,798,220.64
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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.