Finding the Fourth Proportional to 649,964,212,536.15, 974,098,202,763.63 and 363,110,682,143.88
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Solution
The fourth proportional to 649,964,212,536.15, 974,098,202,763.63 and 363,110,682,143.88 is: 544,192,212,522.71
Step by Step Solution
- Step 1: Write the proportion equation
649,964,212,536.15 : 974,098,202,763.63 = 363,110,682,143.88 : x - Step 2: Convert to fraction form
649,964,212,536.15/974,098,202,763.63 = 363,110,682,143.88/x - Step 3: Cross multiply
649,964,212,536.15x = 974,098,202,763.63 × 363,110,682,143.88 - Step 4: Simplify right side
649,964,212,536.15x = 353,705,462,880,629,235,384,320 - Step 5: Solve for x
x = 353,705,462,880,629,235,384,320/649,964,212,536.15 - Step 6: Final answer
x = 544,192,212,522.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.