Finding the Fourth Proportional to 5,740,211,074,691.70, 7,917,758,774,467.50 and 3,681,613,564,341
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Solution
The fourth proportional to 5,740,211,074,691.70, 7,917,758,774,467.50 and 3,681,613,564,341 is: 5,078,232,790,390.05
Step by Step Solution
- Step 1: Write the proportion equation
5,740,211,074,691.70 : 7,917,758,774,467.50 = 3,681,613,564,341 : x - Step 2: Convert to fraction form
5,740,211,074,691.70/7,917,758,774,467.50 = 3,681,613,564,341/x - Step 3: Cross multiply
5,740,211,074,691.70x = 7,917,758,774,467.50 × 3,681,613,564,341 - Step 4: Simplify right side
5,740,211,074,691.70x = 29,150,128,103,259,520,502,857,728 - Step 5: Solve for x
x = 29,150,128,103,259,520,502,857,728/5,740,211,074,691.70 - Step 6: Final answer
x = 5,078,232,790,390.05
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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.