Finding the Fourth Proportional to 5,680,113,807.84, 7,838,406,692.42 and 3,174,008,112.96
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Solution
The fourth proportional to 5,680,113,807.84, 7,838,406,692.42 and 3,174,008,112.96 is: 4,380,047,174.42
Step by Step Solution
- Step 1: Write the proportion equation
5,680,113,807.84 : 7,838,406,692.42 = 3,174,008,112.96 : x - Step 2: Convert to fraction form
5,680,113,807.84/7,838,406,692.42 = 3,174,008,112.96/x - Step 3: Cross multiply
5,680,113,807.84x = 7,838,406,692.42 × 3,174,008,112.96 - Step 4: Simplify right side
5,680,113,807.84x = 24,879,166,434,421,039,104 - Step 5: Solve for x
x = 24,879,166,434,421,039,104/5,680,113,807.84 - Step 6: Final answer
x = 4,380,047,174.42
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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.