Finding the Fourth Proportional to 289,364,385,252.12, 434,067,240,307.68 and 77,127,405,990
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Solution
The fourth proportional to 289,364,385,252.12, 434,067,240,307.68 and 77,127,405,990 is: 115,696,616,364.86
Step by Step Solution
- Step 1: Write the proportion equation
289,364,385,252.12 : 434,067,240,307.68 = 77,127,405,990 : x - Step 2: Convert to fraction form
289,364,385,252.12/434,067,240,307.68 = 77,127,405,990/x - Step 3: Cross multiply
289,364,385,252.12x = 434,067,240,307.68 × 77,127,405,990 - Step 4: Simplify right side
289,364,385,252.12x = 33,478,480,270,169,326,223,360 - Step 5: Solve for x
x = 33,478,480,270,169,326,223,360/289,364,385,252.12 - Step 6: Final answer
x = 115,696,616,364.86
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.