Finding the Fourth Proportional to 739,235,943,328.08, 1,020,151,591,580.20 and 409,644,486,934.68
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Solution
The fourth proportional to 739,235,943,328.08, 1,020,151,591,580.20 and 409,644,486,934.68 is: 565,312,711,185.37
Step by Step Solution
- Step 1: Write the proportion equation
739,235,943,328.08 : 1,020,151,591,580.20 = 409,644,486,934.68 : x - Step 2: Convert to fraction form
739,235,943,328.08/1,020,151,591,580.20 = 409,644,486,934.68/x - Step 3: Cross multiply
739,235,943,328.08x = 1,020,151,591,580.20 × 409,644,486,934.68 - Step 4: Simplify right side
739,235,943,328.08x = 417,899,475,328,468,242,137,088 - Step 5: Solve for x
x = 417,899,475,328,468,242,137,088/739,235,943,328.08 - Step 6: Final answer
x = 565,312,711,185.37
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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.