Finding the Fourth Proportional to 2,127,661,574.67, 3,191,165,140.64 and 709,583,602.41
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Solution
The fourth proportional to 2,127,661,574.67, 3,191,165,140.64 and 709,583,602.41 is: 1,064,266,273.99
Step by Step Solution
- Step 1: Write the proportion equation
2,127,661,574.67 : 3,191,165,140.64 = 709,583,602.41 : x - Step 2: Convert to fraction form
2,127,661,574.67/3,191,165,140.64 = 709,583,602.41/x - Step 3: Cross multiply
2,127,661,574.67x = 3,191,165,140.64 × 709,583,602.41 - Step 4: Simplify right side
2,127,661,574.67x = 2,264,398,456,376,997,632 - Step 5: Solve for x
x = 2,264,398,456,376,997,632/2,127,661,574.67 - Step 6: Final answer
x = 1,064,266,273.99
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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.