Finding the Fourth Proportional to 2,078,447,701.82, 3,118,136,858.87 and 698,224,566.02
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Solution
The fourth proportional to 2,078,447,701.82, 3,118,136,858.87 and 698,224,566.02 is: 1,047,493,161.92
Step by Step Solution
- Step 1: Write the proportion equation
2,078,447,701.82 : 3,118,136,858.87 = 698,224,566.02 : x - Step 2: Convert to fraction form
2,078,447,701.82/3,118,136,858.87 = 698,224,566.02/x - Step 3: Cross multiply
2,078,447,701.82x = 3,118,136,858.87 × 698,224,566.02 - Step 4: Simplify right side
2,078,447,701.82x = 2,177,159,755,056,389,632 - Step 5: Solve for x
x = 2,177,159,755,056,389,632/2,078,447,701.82 - Step 6: Final answer
x = 1,047,493,161.92
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.