Finding the Fourth Proportional to 119,347,686,419.84, 164,698,969,410.24 and 65,154,235,048.64
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Solution
The fourth proportional to 119,347,686,419.84, 164,698,969,410.24 and 65,154,235,048.64 is: 89,912,386,968.90
Step by Step Solution
- Step 1: Write the proportion equation
119,347,686,419.84 : 164,698,969,410.24 = 65,154,235,048.64 : x - Step 2: Convert to fraction form
119,347,686,419.84/164,698,969,410.24 = 65,154,235,048.64/x - Step 3: Cross multiply
119,347,686,419.84x = 164,698,969,410.24 × 65,154,235,048.64 - Step 4: Simplify right side
119,347,686,419.84x = 10,730,835,365,223,544,651,776 - Step 5: Solve for x
x = 10,730,835,365,223,544,651,776/119,347,686,419.84 - Step 6: Final answer
x = 89,912,386,968.90
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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.