Finding the Fourth Proportional to 734,195,781.18, 1,101,330,266.36 and 209,642,683.01
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Solution
The fourth proportional to 734,195,781.18, 1,101,330,266.36 and 209,642,683.01 is: 314,474,473.75
Step by Step Solution
- Step 1: Write the proportion equation
734,195,781.18 : 1,101,330,266.36 = 209,642,683.01 : x - Step 2: Convert to fraction form
734,195,781.18/1,101,330,266.36 = 209,642,683.01/x - Step 3: Cross multiply
734,195,781.18x = 1,101,330,266.36 × 209,642,683.01 - Step 4: Simplify right side
734,195,781.18x = 230,885,831,913,273,472 - Step 5: Solve for x
x = 230,885,831,913,273,472/734,195,781.18 - Step 6: Final answer
x = 314,474,473.75
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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.