Finding the Fourth Proportional to 8,711,282,031,838, 12,026,994,544,338 and 5,545,364,744,619
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Solution
The fourth proportional to 8,711,282,031,838, 12,026,994,544,338 and 5,545,364,744,619 is: 7,656,056,971,424.35
Step by Step Solution
- Step 1: Write the proportion equation
8,711,282,031,838 : 12,026,994,544,338 = 5,545,364,744,619 : x - Step 2: Convert to fraction form
8,711,282,031,838/12,026,994,544,338 = 5,545,364,744,619/x - Step 3: Cross multiply
8,711,282,031,838x = 12,026,994,544,338 × 5,545,364,744,619 - Step 4: Simplify right side
8,711,282,031,838x = 66,694,071,529,896,999,848,509,440 - Step 5: Solve for x
x = 66,694,071,529,896,999,848,509,440/8,711,282,031,838 - Step 6: Final answer
x = 7,656,056,971,424.35
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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.