Finding the Fourth Proportional to 498,745,851,054.36, 748,043,187,193.62 and 135,739,803,860.10
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Solution
The fourth proportional to 498,745,851,054.36, 748,043,187,193.62 and 135,739,803,860.10 is: 203,589,133,210.61
Step by Step Solution
- Step 1: Write the proportion equation
498,745,851,054.36 : 748,043,187,193.62 = 135,739,803,860.10 : x - Step 2: Convert to fraction form
498,745,851,054.36/748,043,187,193.62 = 135,739,803,860.10/x - Step 3: Cross multiply
498,745,851,054.36x = 748,043,187,193.62 × 135,739,803,860.10 - Step 4: Simplify right side
498,745,851,054.36x = 101,539,235,508,546,057,535,488 - Step 5: Solve for x
x = 101,539,235,508,546,057,535,488/498,745,851,054.36 - Step 6: Final answer
x = 203,589,133,210.61
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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.