Finding the Fourth Proportional to 812,416,623,176, 1,218,958,977,693.90 and 358,896,172,211.68
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Solution
The fourth proportional to 812,416,623,176, 1,218,958,977,693.90 and 358,896,172,211.68 is: 538,491,826,357.71
Step by Step Solution
- Step 1: Write the proportion equation
812,416,623,176 : 1,218,958,977,693.90 = 358,896,172,211.68 : x - Step 2: Convert to fraction form
812,416,623,176/1,218,958,977,693.90 = 358,896,172,211.68/x - Step 3: Cross multiply
812,416,623,176x = 1,218,958,977,693.90 × 358,896,172,211.68 - Step 4: Simplify right side
812,416,623,176x = 437,479,711,177,403,313,160,192 - Step 5: Solve for x
x = 437,479,711,177,403,313,160,192/812,416,623,176 - Step 6: Final answer
x = 538,491,826,357.71
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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.