Finding the Fourth Proportional to 49,695,471,476.74, 74,553,677,792.45 and 16,116,475,704.38
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Solution
The fourth proportional to 49,695,471,476.74, 74,553,677,792.45 and 16,116,475,704.38 is: 24,178,109,214.17
Step by Step Solution
- Step 1: Write the proportion equation
49,695,471,476.74 : 74,553,677,792.45 = 16,116,475,704.38 : x - Step 2: Convert to fraction form
49,695,471,476.74/74,553,677,792.45 = 16,116,475,704.38/x - Step 3: Cross multiply
49,695,471,476.74x = 74,553,677,792.45 × 16,116,475,704.38 - Step 4: Simplify right side
49,695,471,476.74x = 1,201,542,536,814,263,795,712 - Step 5: Solve for x
x = 1,201,542,536,814,263,795,712/49,695,471,476.74 - Step 6: Final answer
x = 24,178,109,214.17
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.