Finding the Fourth Proportional to 2,013,126,300,238, 2,778,114,188,083 and 1,087,180,288,184
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Solution
The fourth proportional to 2,013,126,300,238, 2,778,114,188,083 and 1,087,180,288,184 is: 1,500,308,740,316.52
Step by Step Solution
- Step 1: Write the proportion equation
2,013,126,300,238 : 2,778,114,188,083 = 1,087,180,288,184 : x - Step 2: Convert to fraction form
2,013,126,300,238/2,778,114,188,083 = 1,087,180,288,184/x - Step 3: Cross multiply
2,013,126,300,238x = 2,778,114,188,083 × 1,087,180,288,184 - Step 4: Simplify right side
2,013,126,300,238x = 3,020,310,983,608,134,874,955,776 - Step 5: Solve for x
x = 3,020,310,983,608,134,874,955,776/2,013,126,300,238 - Step 6: Final answer
x = 1,500,308,740,316.52
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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.