Finding the Fourth Proportional to 1,225,065,821,413.40, 1,690,739,079,470.70 and 697,243,551,646.71
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Solution
The fourth proportional to 1,225,065,821,413.40, 1,690,739,079,470.70 and 697,243,551,646.71 is: 962,280,475,115.98
Step by Step Solution
- Step 1: Write the proportion equation
1,225,065,821,413.40 : 1,690,739,079,470.70 = 697,243,551,646.71 : x - Step 2: Convert to fraction form
1,225,065,821,413.40/1,690,739,079,470.70 = 697,243,551,646.71/x - Step 3: Cross multiply
1,225,065,821,413.40x = 1,690,739,079,470.70 × 697,243,551,646.71 - Step 4: Simplify right side
1,225,065,821,413.40x = 1,178,856,920,678,039,843,504,128 - Step 5: Solve for x
x = 1,178,856,920,678,039,843,504,128/1,225,065,821,413.40 - Step 6: Final answer
x = 962,280,475,115.98
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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.