Finding the Fourth Proportional to 585,092,176,809.08, 877,427,711,610.84 and 202,532,308,310.80
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Solution
The fourth proportional to 585,092,176,809.08, 877,427,711,610.84 and 202,532,308,310.80 is: 303,725,578,382.49
Step by Step Solution
- Step 1: Write the proportion equation
585,092,176,809.08 : 877,427,711,610.84 = 202,532,308,310.80 : x - Step 2: Convert to fraction form
585,092,176,809.08/877,427,711,610.84 = 202,532,308,310.80/x - Step 3: Cross multiply
585,092,176,809.08x = 877,427,711,610.84 × 202,532,308,310.80 - Step 4: Simplify right side
585,092,176,809.08x = 177,707,459,808,406,332,768,256 - Step 5: Solve for x
x = 177,707,459,808,406,332,768,256/585,092,176,809.08 - Step 6: Final answer
x = 303,725,578,382.49
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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.