Finding the Fourth Proportional to 149,365,941,513.04, 206,125,620,313.98 and 80,777,354,626.36
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Solution
The fourth proportional to 149,365,941,513.04, 206,125,620,313.98 and 80,777,354,626.36 is: 111,473,085,236.28
Step by Step Solution
- Step 1: Write the proportion equation
149,365,941,513.04 : 206,125,620,313.98 = 80,777,354,626.36 : x - Step 2: Convert to fraction form
149,365,941,513.04/206,125,620,313.98 = 80,777,354,626.36/x - Step 3: Cross multiply
149,365,941,513.04x = 206,125,620,313.98 × 80,777,354,626.36 - Step 4: Simplify right side
149,365,941,513.04x = 16,650,282,329,680,797,237,248 - Step 5: Solve for x
x = 16,650,282,329,680,797,237,248/149,365,941,513.04 - Step 6: Final answer
x = 111,473,085,236.28
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.