Finding the Fourth Proportional to 13,507,564,974.21, 18,640,441,431.35 and 7,486,459,103.02
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Solution
The fourth proportional to 13,507,564,974.21, 18,640,441,431.35 and 7,486,459,103.02 is: 10,331,314,541.48
Step by Step Solution
- Step 1: Write the proportion equation
13,507,564,974.21 : 18,640,441,431.35 = 7,486,459,103.02 : x - Step 2: Convert to fraction form
13,507,564,974.21/18,640,441,431.35 = 7,486,459,103.02/x - Step 3: Cross multiply
13,507,564,974.21x = 18,640,441,431.35 × 7,486,459,103.02 - Step 4: Simplify right side
13,507,564,974.21x = 139,550,902,438,041,370,624 - Step 5: Solve for x
x = 139,550,902,438,041,370,624/13,507,564,974.21 - Step 6: Final answer
x = 10,331,314,541.48
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1.5x scale
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.