Finding the Fourth Proportional to 998,879,972,458.84, 1,378,218,103,773.60 and 565,332,361,382.93
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Solution
The fourth proportional to 998,879,972,458.84, 1,378,218,103,773.60 and 565,332,361,382.93 is: 780,024,944,527.70
Step by Step Solution
- Step 1: Write the proportion equation
998,879,972,458.84 : 1,378,218,103,773.60 = 565,332,361,382.93 : x - Step 2: Convert to fraction form
998,879,972,458.84/1,378,218,103,773.60 = 565,332,361,382.93/x - Step 3: Cross multiply
998,879,972,458.84x = 1,378,218,103,773.60 × 565,332,361,382.93 - Step 4: Simplify right side
998,879,972,458.84x = 779,151,295,107,033,443,860,480 - Step 5: Solve for x
x = 779,151,295,107,033,443,860,480/998,879,972,458.84 - Step 6: Final answer
x = 780,024,944,527.70
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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.