Finding the Fourth Proportional to 56,381,369,882.16, 77,784,270,197.40 and 32,282,513,229.36
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Solution
The fourth proportional to 56,381,369,882.16, 77,784,270,197.40 and 32,282,513,229.36 is: 44,537,260,036.99
Step by Step Solution
- Step 1: Write the proportion equation
56,381,369,882.16 : 77,784,270,197.40 = 32,282,513,229.36 : x - Step 2: Convert to fraction form
56,381,369,882.16/77,784,270,197.40 = 32,282,513,229.36/x - Step 3: Cross multiply
56,381,369,882.16x = 77,784,270,197.40 × 32,282,513,229.36 - Step 4: Simplify right side
56,381,369,882.16x = 2,511,071,731,683,677,962,240 - Step 5: Solve for x
x = 2,511,071,731,683,677,962,240/56,381,369,882.16 - Step 6: Final answer
x = 44,537,260,036.99
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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.