Finding the Fourth Proportional to 175,473,683,000.62, 242,153,682,540.86 and 100,374,692,408.62
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Solution
The fourth proportional to 175,473,683,000.62, 242,153,682,540.86 and 100,374,692,408.62 is: 138,517,075,523.90
Step by Step Solution
- Step 1: Write the proportion equation
175,473,683,000.62 : 242,153,682,540.86 = 100,374,692,408.62 : x - Step 2: Convert to fraction form
175,473,683,000.62/242,153,682,540.86 = 100,374,692,408.62/x - Step 3: Cross multiply
175,473,683,000.62x = 242,153,682,540.86 × 100,374,692,408.62 - Step 4: Simplify right side
175,473,683,000.62x = 24,306,101,400,653,434,716,160 - Step 5: Solve for x
x = 24,306,101,400,653,434,716,160/175,473,683,000.62 - Step 6: Final answer
x = 138,517,075,523.90
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1.5x scale
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.