Finding the Fourth Proportional to 292,159,778,859.20, 438,239,668,288.80 and 292,159,778,859.20
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Solution
The fourth proportional to 292,159,778,859.20, 438,239,668,288.80 and 292,159,778,859.20 is: 438,239,668,288.80
Step by Step Solution
- Step 1: Write the proportion equation
292,159,778,859.20 : 438,239,668,288.80 = 292,159,778,859.20 : x - Step 2: Convert to fraction form
292,159,778,859.20/438,239,668,288.80 = 292,159,778,859.20/x - Step 3: Cross multiply
292,159,778,859.20x = 438,239,668,288.80 × 292,159,778,859.20 - Step 4: Simplify right side
292,159,778,859.20x = 128,036,004,574,584,966,742,016 - Step 5: Solve for x
x = 128,036,004,574,584,966,742,016/292,159,778,859.20 - Step 6: Final answer
x = 438,239,668,288.80
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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.