Finding the Fourth Proportional to 710,379,407,300.96, 1,065,631,757,216.50 and 200,442,646,553.76
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Solution
The fourth proportional to 710,379,407,300.96, 1,065,631,757,216.50 and 200,442,646,553.76 is: 300,681,646,276.55
Step by Step Solution
- Step 1: Write the proportion equation
710,379,407,300.96 : 1,065,631,757,216.50 = 200,442,646,553.76 : x - Step 2: Convert to fraction form
710,379,407,300.96/1,065,631,757,216.50 = 200,442,646,553.76/x - Step 3: Cross multiply
710,379,407,300.96x = 1,065,631,757,216.50 × 200,442,646,553.76 - Step 4: Simplify right side
710,379,407,300.96x = 213,598,049,668,209,120,903,168 - Step 5: Solve for x
x = 213,598,049,668,209,120,903,168/710,379,407,300.96 - Step 6: Final answer
x = 300,681,646,276.55
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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.