Finding the Fourth Proportional to 543,847,713,011.05, 750,512,177,228.20 and 296,655,378,560.03
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Solution
The fourth proportional to 543,847,713,011.05, 750,512,177,228.20 and 296,655,378,560.03 is: 409,385,695,155.11
Step by Step Solution
- Step 1: Write the proportion equation
543,847,713,011.05 : 750,512,177,228.20 = 296,655,378,560.03 : x - Step 2: Convert to fraction form
543,847,713,011.05/750,512,177,228.20 = 296,655,378,560.03/x - Step 3: Cross multiply
543,847,713,011.05x = 750,512,177,228.20 × 296,655,378,560.03 - Step 4: Simplify right side
543,847,713,011.05x = 222,643,474,049,544,017,149,952 - Step 5: Solve for x
x = 222,643,474,049,544,017,149,952/543,847,713,011.05 - Step 6: Final answer
x = 409,385,695,155.11
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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.