Finding the Fourth Proportional to 97,021,167,335.10, 145,531,751,002.65 and 97,021,167,335.10
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Solution
The fourth proportional to 97,021,167,335.10, 145,531,751,002.65 and 97,021,167,335.10 is: 145,531,751,002.65
Step by Step Solution
- Step 1: Write the proportion equation
97,021,167,335.10 : 145,531,751,002.65 = 97,021,167,335.10 : x - Step 2: Convert to fraction form
97,021,167,335.10/145,531,751,002.65 = 97,021,167,335.10/x - Step 3: Cross multiply
97,021,167,335.10x = 145,531,751,002.65 × 97,021,167,335.10 - Step 4: Simplify right side
97,021,167,335.10x = 14,119,660,366,598,212,943,872 - Step 5: Solve for x
x = 14,119,660,366,598,212,943,872/97,021,167,335.10 - Step 6: Final answer
x = 145,531,751,002.65
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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.