Finding the Fourth Proportional to 1,585,963,193,524.60, 2,378,941,820,992.80 and 496,943,558,737.05
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Solution
The fourth proportional to 1,585,963,193,524.60, 2,378,941,820,992.80 and 496,943,558,737.05 is: 745,414,407,710.98
Step by Step Solution
- Step 1: Write the proportion equation
1,585,963,193,524.60 : 2,378,941,820,992.80 = 496,943,558,737.05 : x - Step 2: Convert to fraction form
1,585,963,193,524.60/2,378,941,820,992.80 = 496,943,558,737.05/x - Step 3: Cross multiply
1,585,963,193,524.60x = 2,378,941,820,992.80 × 496,943,558,737.05 - Step 4: Simplify right side
1,585,963,193,524.60x = 1,182,199,814,552,560,081,043,456 - Step 5: Solve for x
x = 1,182,199,814,552,560,081,043,456/1,585,963,193,524.60 - Step 6: Final answer
x = 745,414,407,710.98
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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.