Finding the Fourth Proportional to 7,106,684,161,203, 9,807,224,142,460.80 and 4,065,175,042,227.20
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Solution
The fourth proportional to 7,106,684,161,203, 9,807,224,142,460.80 and 4,065,175,042,227.20 is: 5,609,941,558,273.91
Step by Step Solution
- Step 1: Write the proportion equation
7,106,684,161,203 : 9,807,224,142,460.80 = 4,065,175,042,227.20 : x - Step 2: Convert to fraction form
7,106,684,161,203/9,807,224,142,460.80 = 4,065,175,042,227.20/x - Step 3: Cross multiply
7,106,684,161,203x = 9,807,224,142,460.80 × 4,065,175,042,227.20 - Step 4: Simplify right side
7,106,684,161,203x = 39,868,082,817,459,699,593,510,912 - Step 5: Solve for x
x = 39,868,082,817,459,699,593,510,912/7,106,684,161,203 - Step 6: Final answer
x = 5,609,941,558,273.91
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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.