Finding the Fourth Proportional to 288,292,877,163.05, 432,136,603,390.72 and 96,998,502,479.43
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Solution
The fourth proportional to 288,292,877,163.05, 432,136,603,390.72 and 96,998,502,479.43 is: 145,395,903,665.50
Step by Step Solution
- Step 1: Write the proportion equation
288,292,877,163.05 : 432,136,603,390.72 = 96,998,502,479.43 : x - Step 2: Convert to fraction form
288,292,877,163.05/432,136,603,390.72 = 96,998,502,479.43/x - Step 3: Cross multiply
288,292,877,163.05x = 432,136,603,390.72 × 96,998,502,479.43 - Step 4: Simplify right side
288,292,877,163.05x = 41,916,603,395,447,210,377,216 - Step 5: Solve for x
x = 41,916,603,395,447,210,377,216/288,292,877,163.05 - Step 6: Final answer
x = 145,395,903,665.50
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1.5x scale
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.