Finding the Fourth Proportional to 811,342,707,535.48, 1,217,053,199,659.80 and 266,779,148,732.09
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Solution
The fourth proportional to 811,342,707,535.48, 1,217,053,199,659.80 and 266,779,148,732.09 is: 400,181,592,256.08
Step by Step Solution
- Step 1: Write the proportion equation
811,342,707,535.48 : 1,217,053,199,659.80 = 266,779,148,732.09 : x - Step 2: Convert to fraction form
811,342,707,535.48/1,217,053,199,659.80 = 266,779,148,732.09/x - Step 3: Cross multiply
811,342,707,535.48x = 1,217,053,199,659.80 × 266,779,148,732.09 - Step 4: Simplify right side
811,342,707,535.48x = 324,684,416,566,907,828,699,136 - Step 5: Solve for x
x = 324,684,416,566,907,828,699,136/811,342,707,535.48 - Step 6: Final answer
x = 400,181,592,256.08
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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.