Finding the Fourth Proportional to 100,580,796,881.68, 138,801,637,350.12 and 54,855,182,840.08
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Solution
The fourth proportional to 100,580,796,881.68, 138,801,637,350.12 and 54,855,182,840.08 is: 75,700,227,393.31
Step by Step Solution
- Step 1: Write the proportion equation
100,580,796,881.68 : 138,801,637,350.12 = 54,855,182,840.08 : x - Step 2: Convert to fraction form
100,580,796,881.68/138,801,637,350.12 = 54,855,182,840.08/x - Step 3: Cross multiply
100,580,796,881.68x = 138,801,637,350.12 × 54,855,182,840.08 - Step 4: Simplify right side
100,580,796,881.68x = 7,613,989,195,343,309,307,904 - Step 5: Solve for x
x = 7,613,989,195,343,309,307,904/100,580,796,881.68 - Step 6: Final answer
x = 75,700,227,393.31
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.