Finding the Fourth Proportional to 270,513,896,949.47, 373,316,467,876.80 and 159,157,089,914.99
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Solution
The fourth proportional to 270,513,896,949.47, 373,316,467,876.80 and 159,157,089,914.99 is: 219,641,073,211.53
Step by Step Solution
- Step 1: Write the proportion equation
270,513,896,949.47 : 373,316,467,876.80 = 159,157,089,914.99 : x - Step 2: Convert to fraction form
270,513,896,949.47/373,316,467,876.80 = 159,157,089,914.99/x - Step 3: Cross multiply
270,513,896,949.47x = 373,316,467,876.80 × 159,157,089,914.99 - Step 4: Simplify right side
270,513,896,949.47x = 59,415,962,644,614,328,877,056 - Step 5: Solve for x
x = 59,415,962,644,614,328,877,056/270,513,896,949.47 - Step 6: Final answer
x = 219,641,073,211.53
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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.