Finding the Fourth Proportional to 14,854,379,076,413, 22,291,746,521,644 and 5,184,382,360,992
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Solution
The fourth proportional to 14,854,379,076,413, 22,291,746,521,644 and 5,184,382,360,992 is: 7,780,125,770,859.43
Step by Step Solution
- Step 1: Write the proportion equation
14,854,379,076,413 : 22,291,746,521,644 = 5,184,382,360,992 : x - Step 2: Convert to fraction form
14,854,379,076,413/22,291,746,521,644 = 5,184,382,360,992/x - Step 3: Cross multiply
14,854,379,076,413x = 22,291,746,521,644 × 5,184,382,360,992 - Step 4: Simplify right side
14,854,379,076,413x = 115,568,937,462,515,918,698,446,848 - Step 5: Solve for x
x = 115,568,937,462,515,918,698,446,848/14,854,379,076,413 - Step 6: Final answer
x = 7,780,125,770,859.43
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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.