Finding the Fourth Proportional to 175,473,682,992, 242,153,682,528.96 and 100,374,692,400
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Solution
The fourth proportional to 175,473,682,992, 242,153,682,528.96 and 100,374,692,400 is: 138,517,075,512
Step by Step Solution
- Step 1: Write the proportion equation
175,473,682,992 : 242,153,682,528.96 = 100,374,692,400 : x - Step 2: Convert to fraction form
175,473,682,992/242,153,682,528.96 = 100,374,692,400/x - Step 3: Cross multiply
175,473,682,992x = 242,153,682,528.96 × 100,374,692,400 - Step 4: Simplify right side
175,473,682,992x = 24,306,101,397,371,614,134,272 - Step 5: Solve for x
x = 24,306,101,397,371,614,134,272/175,473,682,992 - Step 6: Final answer
x = 138,517,075,512
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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.