Finding the Fourth Proportional to 97,417,735,409.70, 146,126,603,114.55 and 97,417,735,409.70
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Solution
The fourth proportional to 97,417,735,409.70, 146,126,603,114.55 and 97,417,735,409.70 is: 146,126,603,114.55
Step by Step Solution
- Step 1: Write the proportion equation
97,417,735,409.70 : 146,126,603,114.55 = 97,417,735,409.70 : x - Step 2: Convert to fraction form
97,417,735,409.70/146,126,603,114.55 = 97,417,735,409.70/x - Step 3: Cross multiply
97,417,735,409.70x = 146,126,603,114.55 × 97,417,735,409.70 - Step 4: Simplify right side
97,417,735,409.70x = 14,235,322,758,531,473,473,536 - Step 5: Solve for x
x = 14,235,322,758,531,473,473,536/97,417,735,409.70 - Step 6: Final answer
x = 146,126,603,114.55
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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.