Finding the Fourth Proportional to 1,207,420,292,038.80, 1,666,245,407,625.60 and 658,709,934,226.95
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Solution
The fourth proportional to 1,207,420,292,038.80, 1,666,245,407,625.60 and 658,709,934,226.95 is: 909,022,657,727.33
Step by Step Solution
- Step 1: Write the proportion equation
1,207,420,292,038.80 : 1,666,245,407,625.60 = 658,709,934,226.95 : x - Step 2: Convert to fraction form
1,207,420,292,038.80/1,666,245,407,625.60 = 658,709,934,226.95/x - Step 3: Cross multiply
1,207,420,292,038.80x = 1,666,245,407,625.60 × 658,709,934,226.95 - Step 4: Simplify right side
1,207,420,292,038.80x = 1,097,572,402,863,016,387,805,184 - Step 5: Solve for x
x = 1,097,572,402,863,016,387,805,184/1,207,420,292,038.80 - Step 6: Final answer
x = 909,022,657,727.33
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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.