Finding the Fourth Proportional to 9,634,221,194.13, 13,299,896,616.93 and 6,461,244,436.77
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Solution
The fourth proportional to 9,634,221,194.13, 13,299,896,616.93 and 6,461,244,436.77 is: 8,919,650,202.56
Step by Step Solution
- Step 1: Write the proportion equation
9,634,221,194.13 : 13,299,896,616.93 = 6,461,244,436.77 : x - Step 2: Convert to fraction form
9,634,221,194.13/13,299,896,616.93 = 6,461,244,436.77/x - Step 3: Cross multiply
9,634,221,194.13x = 13,299,896,616.93 × 6,461,244,436.77 - Step 4: Simplify right side
9,634,221,194.13x = 85,933,883,025,755,111,424 - Step 5: Solve for x
x = 85,933,883,025,755,111,424/9,634,221,194.13 - Step 6: Final answer
x = 8,919,650,202.56
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Double scale
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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.