Finding the Fourth Proportional to 2,781,444,137,411, 4,172,166,206,116.70 and 2,023,270,849,782.20
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Solution
The fourth proportional to 2,781,444,137,411, 4,172,166,206,116.70 and 2,023,270,849,782.20 is: 3,034,906,274,673.45
Step by Step Solution
- Step 1: Write the proportion equation
2,781,444,137,411 : 4,172,166,206,116.70 = 2,023,270,849,782.20 : x - Step 2: Convert to fraction form
2,781,444,137,411/4,172,166,206,116.70 = 2,023,270,849,782.20/x - Step 3: Cross multiply
2,781,444,137,411x = 4,172,166,206,116.70 × 2,023,270,849,782.20 - Step 4: Simplify right side
2,781,444,137,411x = 8,441,422,265,282,313,402,187,776 - Step 5: Solve for x
x = 8,441,422,265,282,313,402,187,776/2,781,444,137,411 - Step 6: Final answer
x = 3,034,906,274,673.45
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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.