Finding the Fourth Proportional to 543,847,712,865.40, 750,512,177,027.24 and 296,655,378,414.28
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Solution
The fourth proportional to 543,847,712,865.40, 750,512,177,027.24 and 296,655,378,414.28 is: 409,385,694,953.99
Step by Step Solution
- Step 1: Write the proportion equation
543,847,712,865.40 : 750,512,177,027.24 = 296,655,378,414.28 : x - Step 2: Convert to fraction form
543,847,712,865.40/750,512,177,027.24 = 296,655,378,414.28/x - Step 3: Cross multiply
543,847,712,865.40x = 750,512,177,027.24 × 296,655,378,414.28 - Step 4: Simplify right side
543,847,712,865.40x = 222,643,473,880,541,013,475,328 - Step 5: Solve for x
x = 222,643,473,880,541,013,475,328/543,847,712,865.40 - Step 6: Final answer
x = 409,385,694,953.99
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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.