Finding the Fourth Proportional to 21,480,141,201,163, 29,648,110,153,207 and 13,990,174,736,683
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Solution
The fourth proportional to 21,480,141,201,163, 29,648,110,153,207 and 13,990,174,736,683 is: 19,310,033,289,414.96
Step by Step Solution
- Step 1: Write the proportion equation
21,480,141,201,163 : 29,648,110,153,207 = 13,990,174,736,683 : x - Step 2: Convert to fraction form
21,480,141,201,163/29,648,110,153,207 = 13,990,174,736,683/x - Step 3: Cross multiply
21,480,141,201,163x = 29,648,110,153,207 × 13,990,174,736,683 - Step 4: Simplify right side
21,480,141,201,163x = 414,782,241,655,791,302,228,312,064 - Step 5: Solve for x
x = 414,782,241,655,791,302,228,312,064/21,480,141,201,163 - Step 6: Final answer
x = 19,310,033,289,414.96
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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.