Finding the Fourth Proportional to 330,036,363,260.68, 495,053,926,943.19 and 103,413,164,329.09
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Solution
The fourth proportional to 330,036,363,260.68, 495,053,926,943.19 and 103,413,164,329.09 is: 155,119,552,866.67
Step by Step Solution
- Step 1: Write the proportion equation
330,036,363,260.68 : 495,053,926,943.19 = 103,413,164,329.09 : x - Step 2: Convert to fraction form
330,036,363,260.68/495,053,926,943.19 = 103,413,164,329.09/x - Step 3: Cross multiply
330,036,363,260.68x = 495,053,926,943.19 × 103,413,164,329.09 - Step 4: Simplify right side
330,036,363,260.68x = 51,195,093,098,737,419,943,936 - Step 5: Solve for x
x = 51,195,093,098,737,419,943,936/330,036,363,260.68 - Step 6: Final answer
x = 155,119,552,866.67
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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.