Finding the Fourth Proportional to 12,630,539,125,612, 17,430,246,334,480 and 6,999,160,101,141
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Solution
The fourth proportional to 12,630,539,125,612, 17,430,246,334,480 and 6,999,160,101,141 is: 9,658,897,651,484.08
Step by Step Solution
- Step 1: Write the proportion equation
12,630,539,125,612 : 17,430,246,334,480 = 6,999,160,101,141 : x - Step 2: Convert to fraction form
12,630,539,125,612/17,430,246,334,480 = 6,999,160,101,141/x - Step 3: Cross multiply
12,630,539,125,612x = 17,430,246,334,480 × 6,999,160,101,141 - Step 4: Simplify right side
12,630,539,125,612x = 121,997,084,697,351,574,557,556,736 - Step 5: Solve for x
x = 121,997,084,697,351,574,557,556,736/12,630,539,125,612 - Step 6: Final answer
x = 9,658,897,651,484.08
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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.