Finding the Fourth Proportional to 97,021,167,261.60, 145,531,750,892.40 and 97,021,167,261.60
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Solution
The fourth proportional to 97,021,167,261.60, 145,531,750,892.40 and 97,021,167,261.60 is: 145,531,750,892.40
Step by Step Solution
- Step 1: Write the proportion equation
97,021,167,261.60 : 145,531,750,892.40 = 97,021,167,261.60 : x - Step 2: Convert to fraction form
97,021,167,261.60/145,531,750,892.40 = 97,021,167,261.60/x - Step 3: Cross multiply
97,021,167,261.60x = 145,531,750,892.40 × 97,021,167,261.60 - Step 4: Simplify right side
97,021,167,261.60x = 14,119,660,345,205,045,854,208 - Step 5: Solve for x
x = 14,119,660,345,205,045,854,208/97,021,167,261.60 - Step 6: Final answer
x = 145,531,750,892.40
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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.