Finding the Fourth Proportional to 180,542,532,449.67, 249,133,885,328.93 and 106,287,693,370.88
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Solution
The fourth proportional to 180,542,532,449.67, 249,133,885,328.93 and 106,287,693,370.88 is: 146,668,298,338.62
Step by Step Solution
- Step 1: Write the proportion equation
180,542,532,449.67 : 249,133,885,328.93 = 106,287,693,370.88 : x - Step 2: Convert to fraction form
180,542,532,449.67/249,133,885,328.93 = 106,287,693,370.88/x - Step 3: Cross multiply
180,542,532,449.67x = 249,133,885,328.93 × 106,287,693,370.88 - Step 4: Simplify right side
180,542,532,449.67x = 26,479,866,012,137,290,727,424 - Step 5: Solve for x
x = 26,479,866,012,137,290,727,424/180,542,532,449.67 - Step 6: Final answer
x = 146,668,298,338.62
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.