Finding the Fourth Proportional to 196,486,248,510.86, 271,151,020,845.50 and 106,265,702,134.84
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Solution
The fourth proportional to 196,486,248,510.86, 271,151,020,845.50 and 106,265,702,134.84 is: 146,646,667,810.61
Step by Step Solution
- Step 1: Write the proportion equation
196,486,248,510.86 : 271,151,020,845.50 = 106,265,702,134.84 : x - Step 2: Convert to fraction form
196,486,248,510.86/271,151,020,845.50 = 106,265,702,134.84/x - Step 3: Cross multiply
196,486,248,510.86x = 271,151,020,845.50 × 106,265,702,134.84 - Step 4: Simplify right side
196,486,248,510.86x = 28,814,053,614,725,695,012,864 - Step 5: Solve for x
x = 28,814,053,614,725,695,012,864/196,486,248,510.86 - Step 6: Final answer
x = 146,646,667,810.61
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1.5x scale
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.