Finding the Fourth Proportional to 1,034,623,845,402.90, 1,427,765,711,695 and 577,888,994,807.68
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Solution
The fourth proportional to 1,034,623,845,402.90, 1,427,765,711,695 and 577,888,994,807.68 is: 797,478,325,691.39
Step by Step Solution
- Step 1: Write the proportion equation
1,034,623,845,402.90 : 1,427,765,711,695 = 577,888,994,807.68 : x - Step 2: Convert to fraction form
1,034,623,845,402.90/1,427,765,711,695 = 577,888,994,807.68/x - Step 3: Cross multiply
1,034,623,845,402.90x = 1,427,765,711,695 × 577,888,994,807.68 - Step 4: Simplify right side
1,034,623,845,402.90x = 825,090,091,952,295,494,287,360 - Step 5: Solve for x
x = 825,090,091,952,295,494,287,360/1,034,623,845,402.90 - Step 6: Final answer
x = 797,478,325,691.39
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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.