Finding the Fourth Proportional to 10,101,630,528,032, 15,152,445,792,047 and 10,101,630,528,032
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Solution
The fourth proportional to 10,101,630,528,032, 15,152,445,792,047 and 10,101,630,528,032 is: 15,152,445,792,047
Step by Step Solution
- Step 1: Write the proportion equation
10,101,630,528,032 : 15,152,445,792,047 = 10,101,630,528,032 : x - Step 2: Convert to fraction form
10,101,630,528,032/15,152,445,792,047 = 10,101,630,528,032/x - Step 3: Cross multiply
10,101,630,528,032x = 15,152,445,792,047 × 10,101,630,528,032 - Step 4: Simplify right side
10,101,630,528,032x = 153,064,408,987,291,985,001,840,640 - Step 5: Solve for x
x = 153,064,408,987,291,985,001,840,640/10,101,630,528,032 - Step 6: Final answer
x = 15,152,445,792,047
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1.5x scale
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.