Finding the Fourth Proportional to 1,970,921,956,924.50, 2,956,716,694,577.70 and 679,782,625,453.12
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Solution
The fourth proportional to 1,970,921,956,924.50, 2,956,716,694,577.70 and 679,782,625,453.12 is: 1,019,789,053,696.20
Step by Step Solution
- Step 1: Write the proportion equation
1,970,921,956,924.50 : 2,956,716,694,577.70 = 679,782,625,453.12 : x - Step 2: Convert to fraction form
1,970,921,956,924.50/2,956,716,694,577.70 = 679,782,625,453.12/x - Step 3: Cross multiply
1,970,921,956,924.50x = 2,956,716,694,577.70 × 679,782,625,453.12 - Step 4: Simplify right side
1,970,921,956,924.50x = 2,009,924,637,361,099,837,014,016 - Step 5: Solve for x
x = 2,009,924,637,361,099,837,014,016/1,970,921,956,924.50 - Step 6: Final answer
x = 1,019,789,053,696.20
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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.