Finding the Fourth Proportional to 7,723,448,183,974, 10,651,199,148,788 and 5,636,764,625,274
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Solution
The fourth proportional to 7,723,448,183,974, 10,651,199,148,788 and 5,636,764,625,274 is: 7,773,510,114,719.88
Step by Step Solution
- Step 1: Write the proportion equation
7,723,448,183,974 : 10,651,199,148,788 = 5,636,764,625,274 : x - Step 2: Convert to fraction form
7,723,448,183,974/10,651,199,148,788 = 5,636,764,625,274/x - Step 3: Cross multiply
7,723,448,183,974x = 10,651,199,148,788 × 5,636,764,625,274 - Step 4: Simplify right side
7,723,448,183,974x = 60,038,302,578,636,736,285,376,512 - Step 5: Solve for x
x = 60,038,302,578,636,736,285,376,512/7,723,448,183,974 - Step 6: Final answer
x = 7,773,510,114,719.88
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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.