Finding the Fourth Proportional to 24,864,578,001,106, 34,310,814,935,026 and 13,752,987,773,465
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Solution
The fourth proportional to 24,864,578,001,106, 34,310,814,935,026 and 13,752,987,773,465 is: 18,977,849,464,328.07
Step by Step Solution
- Step 1: Write the proportion equation
24,864,578,001,106 : 34,310,814,935,026 = 13,752,987,773,465 : x - Step 2: Convert to fraction form
24,864,578,001,106/34,310,814,935,026 = 13,752,987,773,465/x - Step 3: Cross multiply
24,864,578,001,106x = 34,310,814,935,026 × 13,752,987,773,465 - Step 4: Simplify right side
24,864,578,001,106x = 471,876,218,299,032,916,604,223,488 - Step 5: Solve for x
x = 471,876,218,299,032,916,604,223,488/24,864,578,001,106 - Step 6: Final answer
x = 18,977,849,464,328.07
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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.