Finding the Fourth Proportional to 11,182,116,251,175, 16,758,346,634,334 and 5,742,523,353,750
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Solution
The fourth proportional to 11,182,116,251,175, 16,758,346,634,334 and 5,742,523,353,750 is: 8,606,170,313,046.82
Step by Step Solution
- Step 1: Write the proportion equation
11,182,116,251,175 : 16,758,346,634,334 = 5,742,523,353,750 : x - Step 2: Convert to fraction form
11,182,116,251,175/16,758,346,634,334 = 5,742,523,353,750/x - Step 3: Cross multiply
11,182,116,251,175x = 16,758,346,634,334 × 5,742,523,353,750 - Step 4: Simplify right side
11,182,116,251,175x = 96,235,196,917,900,705,636,810,752 - Step 5: Solve for x
x = 96,235,196,917,900,705,636,810,752/11,182,116,251,175 - Step 6: Final answer
x = 8,606,170,313,046.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.