Finding the Fourth Proportional to 543,847,712,864.30, 750,512,177,025.75 and 296,655,378,413.15
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Solution
The fourth proportional to 543,847,712,864.30, 750,512,177,025.75 and 296,655,378,413.15 is: 409,385,694,952.45
Step by Step Solution
- Step 1: Write the proportion equation
543,847,712,864.30 : 750,512,177,025.75 = 296,655,378,413.15 : x - Step 2: Convert to fraction form
543,847,712,864.30/750,512,177,025.75 = 296,655,378,413.15/x - Step 3: Cross multiply
543,847,712,864.30x = 750,512,177,025.75 × 296,655,378,413.15 - Step 4: Simplify right side
543,847,712,864.30x = 222,643,473,879,250,912,673,792 - Step 5: Solve for x
x = 222,643,473,879,250,912,673,792/543,847,712,864.30 - Step 6: Final answer
x = 409,385,694,952.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.