Finding the Fourth Proportional to 51,875,971,776,416, 77,813,620,607,922 and 13,195,654,457,135
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Solution
The fourth proportional to 51,875,971,776,416, 77,813,620,607,922 and 13,195,654,457,135 is: 19,793,395,948,826.26
Step by Step Solution
- Step 1: Write the proportion equation
51,875,971,776,416 : 77,813,620,607,922 = 13,195,654,457,135 : x - Step 2: Convert to fraction form
51,875,971,776,416/77,813,620,607,922 = 13,195,654,457,135/x - Step 3: Cross multiply
51,875,971,776,416x = 77,813,620,607,922 × 13,195,654,457,135 - Step 4: Simplify right side
51,875,971,776,416x = 1,026,801,649,600,737,762,061,844,480 - Step 5: Solve for x
x = 1,026,801,649,600,737,762,061,844,480/51,875,971,776,416 - Step 6: Final answer
x = 19,793,395,948,826.26
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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.