Finding the Fourth Proportional to 9,575,290,136,664, 13,213,737,066,170 and 5,185,584,920,848
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Solution
The fourth proportional to 9,575,290,136,664, 13,213,737,066,170 and 5,185,584,920,848 is: 7,156,018,742,034.06
Step by Step Solution
- Step 1: Write the proportion equation
9,575,290,136,664 : 13,213,737,066,170 = 5,185,584,920,848 : x - Step 2: Convert to fraction form
9,575,290,136,664/13,213,737,066,170 = 5,185,584,920,848/x - Step 3: Cross multiply
9,575,290,136,664x = 13,213,737,066,170 × 5,185,584,920,848 - Step 4: Simplify right side
9,575,290,136,664x = 68,520,955,678,381,441,133,051,904 - Step 5: Solve for x
x = 68,520,955,678,381,441,133,051,904/9,575,290,136,664 - Step 6: Final answer
x = 7,156,018,742,034.06
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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.