Finding the Fourth Proportional to 4,435,986,865,303, 6,121,657,231,313.40 and 2,485,036,349,210.40
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Solution
The fourth proportional to 4,435,986,865,303, 6,121,657,231,313.40 and 2,485,036,349,210.40 is: 3,429,347,561,014.79
Step by Step Solution
- Step 1: Write the proportion equation
4,435,986,865,303 : 6,121,657,231,313.40 = 2,485,036,349,210.40 : x - Step 2: Convert to fraction form
4,435,986,865,303/6,121,657,231,313.40 = 2,485,036,349,210.40/x - Step 3: Cross multiply
4,435,986,865,303x = 6,121,657,231,313.40 × 2,485,036,349,210.40 - Step 4: Simplify right side
4,435,986,865,303x = 15,212,540,737,220,496,072,900,608 - Step 5: Solve for x
x = 15,212,540,737,220,496,072,900,608/4,435,986,865,303 - Step 6: Final answer
x = 3,429,347,561,014.79
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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.