Finding the Fourth Proportional to 97,021,167,313.85, 145,531,750,970.78 and 97,021,167,313.85
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Solution
The fourth proportional to 97,021,167,313.85, 145,531,750,970.78 and 97,021,167,313.85 is: 145,531,750,970.78
Step by Step Solution
- Step 1: Write the proportion equation
97,021,167,313.85 : 145,531,750,970.78 = 97,021,167,313.85 : x - Step 2: Convert to fraction form
97,021,167,313.85/145,531,750,970.78 = 97,021,167,313.85/x - Step 3: Cross multiply
97,021,167,313.85x = 145,531,750,970.78 × 97,021,167,313.85 - Step 4: Simplify right side
97,021,167,313.85x = 14,119,660,360,413,598,449,664 - Step 5: Solve for x
x = 14,119,660,360,413,598,449,664/97,021,167,313.85 - Step 6: Final answer
x = 145,531,750,970.78
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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.