Finding the Fourth Proportional to 4,500,046,538.19, 6,743,291,130.05 and 4,009,638,098.07
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Solution
The fourth proportional to 4,500,046,538.19, 6,743,291,130.05 and 4,009,638,098.07 is: 6,008,417,200.12
Step by Step Solution
- Step 1: Write the proportion equation
4,500,046,538.19 : 6,743,291,130.05 = 4,009,638,098.07 : x - Step 2: Convert to fraction form
4,500,046,538.19/6,743,291,130.05 = 4,009,638,098.07/x - Step 3: Cross multiply
4,500,046,538.19x = 6,743,291,130.05 × 4,009,638,098.07 - Step 4: Simplify right side
4,500,046,538.19x = 27,038,157,021,405,937,664 - Step 5: Solve for x
x = 27,038,157,021,405,937,664/4,500,046,538.19 - Step 6: Final answer
x = 6,008,417,200.12
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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.