Finding the Fourth Proportional to 261,041,437,530.59, 360,237,201,115.29 and 145,295,713,203.09
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Solution
The fourth proportional to 261,041,437,530.59, 360,237,201,115.29 and 145,295,713,203.09 is: 200,508,093,862.29
Step by Step Solution
- Step 1: Write the proportion equation
261,041,437,530.59 : 360,237,201,115.29 = 145,295,713,203.09 : x - Step 2: Convert to fraction form
261,041,437,530.59/360,237,201,115.29 = 145,295,713,203.09/x - Step 3: Cross multiply
261,041,437,530.59x = 360,237,201,115.29 × 145,295,713,203.09 - Step 4: Simplify right side
261,041,437,530.59x = 52,340,921,058,331,025,473,536 - Step 5: Solve for x
x = 52,340,921,058,331,025,473,536/261,041,437,530.59 - Step 6: Final answer
x = 200,508,093,862.29
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1.5x scale
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.