Finding the Fourth Proportional to 97,021,167,341.10, 145,531,751,011.65 and 97,021,167,341.10
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Solution
The fourth proportional to 97,021,167,341.10, 145,531,751,011.65 and 97,021,167,341.10 is: 145,531,751,011.65
Step by Step Solution
- Step 1: Write the proportion equation
97,021,167,341.10 : 145,531,751,011.65 = 97,021,167,341.10 : x - Step 2: Convert to fraction form
97,021,167,341.10/145,531,751,011.65 = 97,021,167,341.10/x - Step 3: Cross multiply
97,021,167,341.10x = 145,531,751,011.65 × 97,021,167,341.10 - Step 4: Simplify right side
97,021,167,341.10x = 14,119,660,368,344,593,203,200 - Step 5: Solve for x
x = 14,119,660,368,344,593,203,200/97,021,167,341.10 - Step 6: Final answer
x = 145,531,751,011.65
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Double scale
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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.