Finding the Fourth Proportional to 53,145,975,976,677, 80,117,303,963,598 and 49,603,250,478,447
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Solution
The fourth proportional to 53,145,975,976,677, 80,117,303,963,598 and 49,603,250,478,447 is: 74,776,662,261,470.98
Step by Step Solution
- Step 1: Write the proportion equation
53,145,975,976,677 : 80,117,303,963,598 = 49,603,250,478,447 : x - Step 2: Convert to fraction form
53,145,975,976,677/80,117,303,963,598 = 49,603,250,478,447/x - Step 3: Cross multiply
53,145,975,976,677x = 80,117,303,963,598 × 49,603,250,478,447 - Step 4: Simplify right side
53,145,975,976,677x = 3,974,078,696,164,226,311,460,487,168 - Step 5: Solve for x
x = 3,974,078,696,164,226,311,460,487,168/53,145,975,976,677 - Step 6: Final answer
x = 74,776,662,261,470.98
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.