Finding the Fourth Proportional to 165,992,524,627.02, 249,003,981,970.47 and 46,609,044,676.80
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Solution
The fourth proportional to 165,992,524,627.02, 249,003,981,970.47 and 46,609,044,676.80 is: 69,917,833,627.99
Step by Step Solution
- Step 1: Write the proportion equation
165,992,524,627.02 : 249,003,981,970.47 = 46,609,044,676.80 : x - Step 2: Convert to fraction form
165,992,524,627.02/249,003,981,970.47 = 46,609,044,676.80/x - Step 3: Cross multiply
165,992,524,627.02x = 249,003,981,970.47 × 46,609,044,676.80 - Step 4: Simplify right side
165,992,524,627.02x = 11,605,837,720,362,739,040,256 - Step 5: Solve for x
x = 11,605,837,720,362,739,040,256/165,992,524,627.02 - Step 6: Final answer
x = 69,917,833,627.99
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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.