Finding the Fourth Proportional to 524,264,401,927.84, 786,432,116,450.32 and 184,262,243,678.96
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Solution
The fourth proportional to 524,264,401,927.84, 786,432,116,450.32 and 184,262,243,678.96 is: 276,405,847,403.45
Step by Step Solution
- Step 1: Write the proportion equation
524,264,401,927.84 : 786,432,116,450.32 = 184,262,243,678.96 : x - Step 2: Convert to fraction form
524,264,401,927.84/786,432,116,450.32 = 184,262,243,678.96/x - Step 3: Cross multiply
524,264,401,927.84x = 786,432,116,450.32 × 184,262,243,678.96 - Step 4: Simplify right side
524,264,401,927.84x = 144,909,746,278,329,088,999,424 - Step 5: Solve for x
x = 144,909,746,278,329,088,999,424/524,264,401,927.84 - Step 6: Final answer
x = 276,405,847,403.45
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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.