Finding the Fourth Proportional to 2,043,087,966,164.50, 3,064,634,898,767.70 and 834,338,377,032.84
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Solution
The fourth proportional to 2,043,087,966,164.50, 3,064,634,898,767.70 and 834,338,377,032.84 is: 1,251,508,770,048.80
Step by Step Solution
- Step 1: Write the proportion equation
2,043,087,966,164.50 : 3,064,634,898,767.70 = 834,338,377,032.84 : x - Step 2: Convert to fraction form
2,043,087,966,164.50/3,064,634,898,767.70 = 834,338,377,032.84/x - Step 3: Cross multiply
2,043,087,966,164.50x = 3,064,634,898,767.70 × 834,338,377,032.84 - Step 4: Simplify right side
2,043,087,966,164.50x = 2,556,942,507,636,044,716,834,816 - Step 5: Solve for x
x = 2,556,942,507,636,044,716,834,816/2,043,087,966,164.50 - Step 6: Final answer
x = 1,251,508,770,048.80
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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.