Finding the Fourth Proportional to 110,438,138,283.30, 165,657,207,424.95 and 110,438,138,283.30
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Solution
The fourth proportional to 110,438,138,283.30, 165,657,207,424.95 and 110,438,138,283.30 is: 165,657,207,424.95
Step by Step Solution
- Step 1: Write the proportion equation
110,438,138,283.30 : 165,657,207,424.95 = 110,438,138,283.30 : x - Step 2: Convert to fraction form
110,438,138,283.30/165,657,207,424.95 = 110,438,138,283.30/x - Step 3: Cross multiply
110,438,138,283.30x = 165,657,207,424.95 × 110,438,138,283.30 - Step 4: Simplify right side
110,438,138,283.30x = 18,294,873,581,221,941,608,448 - Step 5: Solve for x
x = 18,294,873,581,221,941,608,448/110,438,138,283.30 - Step 6: Final answer
x = 165,657,207,424.95
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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.