Finding the Fourth Proportional to 1,289,886,735,569.50, 1,780,086,447,956 and 703,968,662,853
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Solution
The fourth proportional to 1,289,886,735,569.50, 1,780,086,447,956 and 703,968,662,853 is: 971,500,087,546.11
Step by Step Solution
- Step 1: Write the proportion equation
1,289,886,735,569.50 : 1,780,086,447,956 = 703,968,662,853 : x - Step 2: Convert to fraction form
1,289,886,735,569.50/1,780,086,447,956 = 703,968,662,853/x - Step 3: Cross multiply
1,289,886,735,569.50x = 1,780,086,447,956 × 703,968,662,853 - Step 4: Simplify right side
1,289,886,735,569.50x = 1,253,125,076,530,331,624,931,328 - Step 5: Solve for x
x = 1,253,125,076,530,331,624,931,328/1,289,886,735,569.50 - Step 6: Final answer
x = 971,500,087,546.11
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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.