Finding the Fourth Proportional to 5,216,352,529,961.70, 7,828,102,929,764.70 and 1,820,578,649,120
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Solution
The fourth proportional to 5,216,352,529,961.70, 7,828,102,929,764.70 and 1,820,578,649,120 is: 2,732,115,395,802.82
Step by Step Solution
- Step 1: Write the proportion equation
5,216,352,529,961.70 : 7,828,102,929,764.70 = 1,820,578,649,120 : x - Step 2: Convert to fraction form
5,216,352,529,961.70/7,828,102,929,764.70 = 1,820,578,649,120/x - Step 3: Cross multiply
5,216,352,529,961.70x = 7,828,102,929,764.70 × 1,820,578,649,120 - Step 4: Simplify right side
5,216,352,529,961.70x = 14,251,677,057,043,332,184,670,208 - Step 5: Solve for x
x = 14,251,677,057,043,332,184,670,208/5,216,352,529,961.70 - Step 6: Final answer
x = 2,732,115,395,802.82
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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.