Finding the Fourth Proportional to 1,640,118,504.42, 2,263,362,073.21 and 925,804,412.12
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Solution
The fourth proportional to 1,640,118,504.42, 2,263,362,073.21 and 925,804,412.12 is: 1,277,609,262.96
Step by Step Solution
- Step 1: Write the proportion equation
1,640,118,504.42 : 2,263,362,073.21 = 925,804,412.12 : x - Step 2: Convert to fraction form
1,640,118,504.42/2,263,362,073.21 = 925,804,412.12/x - Step 3: Cross multiply
1,640,118,504.42x = 2,263,362,073.21 × 925,804,412.12 - Step 4: Simplify right side
1,640,118,504.42x = 2,095,430,593,602,888,448 - Step 5: Solve for x
x = 2,095,430,593,602,888,448/1,640,118,504.42 - Step 6: Final answer
x = 1,277,609,262.96
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1.5x scale
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.