Finding the Fourth Proportional to 1,297,317,947,070.70, 1,944,614,715,013.20 and 436,493,260,994.31
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Solution
The fourth proportional to 1,297,317,947,070.70, 1,944,614,715,013.20 and 436,493,260,994.31 is: 654,281,566,249.99
Step by Step Solution
- Step 1: Write the proportion equation
1,297,317,947,070.70 : 1,944,614,715,013.20 = 436,493,260,994.31 : x - Step 2: Convert to fraction form
1,297,317,947,070.70/1,944,614,715,013.20 = 436,493,260,994.31/x - Step 3: Cross multiply
1,297,317,947,070.70x = 1,944,614,715,013.20 × 436,493,260,994.31 - Step 4: Simplify right side
1,297,317,947,070.70x = 848,811,218,333,632,441,614,336 - Step 5: Solve for x
x = 848,811,218,333,632,441,614,336/1,297,317,947,070.70 - Step 6: Final answer
x = 654,281,566,249.99
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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.