Finding the Fourth Proportional to 543,027,564,497.80, 814,541,346,746.70 and 543,027,564,497.80
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Solution
The fourth proportional to 543,027,564,497.80, 814,541,346,746.70 and 543,027,564,497.80 is: 814,541,346,746.70
Step by Step Solution
- Step 1: Write the proportion equation
543,027,564,497.80 : 814,541,346,746.70 = 543,027,564,497.80 : x - Step 2: Convert to fraction form
543,027,564,497.80/814,541,346,746.70 = 543,027,564,497.80/x - Step 3: Cross multiply
543,027,564,497.80x = 814,541,346,746.70 × 543,027,564,497.80 - Step 4: Simplify right side
543,027,564,497.80x = 442,318,403,706,618,439,008,256 - Step 5: Solve for x
x = 442,318,403,706,618,439,008,256/543,027,564,497.80 - Step 6: Final answer
x = 814,541,346,746.70
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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.