Finding the Fourth Proportional to 11,326,070,596,543, 16,989,105,894,814 and 11,326,070,596,543
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Solution
The fourth proportional to 11,326,070,596,543, 16,989,105,894,814 and 11,326,070,596,543 is: 16,989,105,894,814
Step by Step Solution
- Step 1: Write the proportion equation
11,326,070,596,543 : 16,989,105,894,814 = 11,326,070,596,543 : x - Step 2: Convert to fraction form
11,326,070,596,543/16,989,105,894,814 = 11,326,070,596,543/x - Step 3: Cross multiply
11,326,070,596,543x = 16,989,105,894,814 × 11,326,070,596,543 - Step 4: Simplify right side
11,326,070,596,543x = 192,419,812,736,808,189,167,665,152 - Step 5: Solve for x
x = 192,419,812,736,808,189,167,665,152/11,326,070,596,543 - Step 6: Final answer
x = 16,989,105,894,814
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.