Finding the Fourth Proportional to 854,747,872,930.44, 1,282,163,041,574 and 281,051,284,232.19
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Solution
The fourth proportional to 854,747,872,930.44, 1,282,163,041,574 and 281,051,284,232.19 is: 421,590,483,979.77
Step by Step Solution
- Step 1: Write the proportion equation
854,747,872,930.44 : 1,282,163,041,574 = 281,051,284,232.19 : x - Step 2: Convert to fraction form
854,747,872,930.44/1,282,163,041,574 = 281,051,284,232.19/x - Step 3: Cross multiply
854,747,872,930.44x = 1,282,163,041,574 × 281,051,284,232.19 - Step 4: Simplify right side
854,747,872,930.44x = 360,353,569,429,423,529,132,032 - Step 5: Solve for x
x = 360,353,569,429,423,529,132,032/854,747,872,930.44 - Step 6: Final answer
x = 421,590,483,979.77
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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.