Finding the Fourth Proportional to 201,408,238,834.24, 301,963,420,122.49 and 121,802,090,706.58
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Solution
The fourth proportional to 201,408,238,834.24, 301,963,420,122.49 and 121,802,090,706.58 is: 182,613,065,387.55
Step by Step Solution
- Step 1: Write the proportion equation
201,408,238,834.24 : 301,963,420,122.49 = 121,802,090,706.58 : x - Step 2: Convert to fraction form
201,408,238,834.24/301,963,420,122.49 = 121,802,090,706.58/x - Step 3: Cross multiply
201,408,238,834.24x = 301,963,420,122.49 × 121,802,090,706.58 - Step 4: Simplify right side
201,408,238,834.24x = 36,779,775,887,828,649,508,864 - Step 5: Solve for x
x = 36,779,775,887,828,649,508,864/201,408,238,834.24 - Step 6: Final answer
x = 182,613,065,387.55
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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.