Finding the Fourth Proportional to 1,698,575,313,811.20, 2,344,033,843,413.80 and 917,308,366,141.96
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Solution
The fourth proportional to 1,698,575,313,811.20, 2,344,033,843,413.80 and 917,308,366,141.96 is: 1,265,885,496,863.15
Step by Step Solution
- Step 1: Write the proportion equation
1,698,575,313,811.20 : 2,344,033,843,413.80 = 917,308,366,141.96 : x - Step 2: Convert to fraction form
1,698,575,313,811.20/2,344,033,843,413.80 = 917,308,366,141.96/x - Step 3: Cross multiply
1,698,575,313,811.20x = 2,344,033,843,413.80 × 917,308,366,141.96 - Step 4: Simplify right side
1,698,575,313,811.20x = 2,150,201,855,083,371,418,353,664 - Step 5: Solve for x
x = 2,150,201,855,083,371,418,353,664/1,698,575,313,811.20 - Step 6: Final answer
x = 1,265,885,496,863.15
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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.