Finding the Fourth Proportional to 137,188,472,452.62, 205,759,884,281.49 and 41,551,753,235.10
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Solution
The fourth proportional to 137,188,472,452.62, 205,759,884,281.49 and 41,551,753,235.10 is: 62,320,716,781.07
Step by Step Solution
- Step 1: Write the proportion equation
137,188,472,452.62 : 205,759,884,281.49 = 41,551,753,235.10 : x - Step 2: Convert to fraction form
137,188,472,452.62/205,759,884,281.49 = 41,551,753,235.10/x - Step 3: Cross multiply
137,188,472,452.62x = 205,759,884,281.49 × 41,551,753,235.10 - Step 4: Simplify right side
137,188,472,452.62x = 8,549,683,937,347,203,235,840 - Step 5: Solve for x
x = 8,549,683,937,347,203,235,840/137,188,472,452.62 - Step 6: Final answer
x = 62,320,716,781.07
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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.