Finding the Fourth Proportional to 12,578,464,436,126, 18,869,583,202,821 and 4,417,966,378,169.60
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Solution
The fourth proportional to 12,578,464,436,126, 18,869,583,202,821 and 4,417,966,378,169.60 is: 6,627,612,184,576.99
Step by Step Solution
- Step 1: Write the proportion equation
12,578,464,436,126 : 18,869,583,202,821 = 4,417,966,378,169.60 : x - Step 2: Convert to fraction form
12,578,464,436,126/18,869,583,202,821 = 4,417,966,378,169.60/x - Step 3: Cross multiply
12,578,464,436,126x = 18,869,583,202,821 × 4,417,966,378,169.60 - Step 4: Simplify right side
12,578,464,436,126x = 83,365,184,160,137,005,546,602,496 - Step 5: Solve for x
x = 83,365,184,160,137,005,546,602,496/12,578,464,436,126 - Step 6: Final answer
x = 6,627,612,184,576.99
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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.