Finding the Fourth Proportional to 30,341,934,609,574, 41,871,900,750,174 and 16,468,413,920,493
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Solution
The fourth proportional to 30,341,934,609,574, 41,871,900,750,174 and 16,468,413,920,493 is: 22,726,428,029,875.32
Step by Step Solution
- Step 1: Write the proportion equation
30,341,934,609,574 : 41,871,900,750,174 = 16,468,413,920,493 : x - Step 2: Convert to fraction form
30,341,934,609,574/41,871,900,750,174 = 16,468,413,920,493/x - Step 3: Cross multiply
30,341,934,609,574x = 41,871,900,750,174 × 16,468,413,920,493 - Step 4: Simplify right side
30,341,934,609,574x = 689,563,793,191,666,762,001,678,336 - Step 5: Solve for x
x = 689,563,793,191,666,762,001,678,336/30,341,934,609,574 - Step 6: Final answer
x = 22,726,428,029,875.32
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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.