Finding the Fourth Proportional to 814,141,378,312.20, 1,221,212,067,468.30 and 743,613,630,625.80
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Solution
The fourth proportional to 814,141,378,312.20, 1,221,212,067,468.30 and 743,613,630,625.80 is: 1,115,420,445,938.70
Step by Step Solution
- Step 1: Write the proportion equation
814,141,378,312.20 : 1,221,212,067,468.30 = 743,613,630,625.80 : x - Step 2: Convert to fraction form
814,141,378,312.20/1,221,212,067,468.30 = 743,613,630,625.80/x - Step 3: Cross multiply
814,141,378,312.20x = 1,221,212,067,468.30 × 743,613,630,625.80 - Step 4: Simplify right side
814,141,378,312.20x = 908,109,939,254,142,053,646,336 - Step 5: Solve for x
x = 908,109,939,254,142,053,646,336/814,141,378,312.20 - Step 6: Final answer
x = 1,115,420,445,938.70
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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.