Finding the Fourth Proportional to 2,220,596,201,165.40, 3,063,294,957,140 and 1,450,295,791,296.40
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Solution
The fourth proportional to 2,220,596,201,165.40, 3,063,294,957,140 and 1,450,295,791,296.40 is: 2,000,671,613,104.65
Step by Step Solution
- Step 1: Write the proportion equation
2,220,596,201,165.40 : 3,063,294,957,140 = 1,450,295,791,296.40 : x - Step 2: Convert to fraction form
2,220,596,201,165.40/3,063,294,957,140 = 1,450,295,791,296.40/x - Step 3: Cross multiply
2,220,596,201,165.40x = 3,063,294,957,140 × 1,450,295,791,296.40 - Step 4: Simplify right side
2,220,596,201,165.40x = 4,442,683,783,839,627,599,675,392 - Step 5: Solve for x
x = 4,442,683,783,839,627,599,675,392/2,220,596,201,165.40 - Step 6: Final answer
x = 2,000,671,613,104.65
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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.