Finding the Fourth Proportional to 211,841,708,862.12, 292,341,474,287.88 and 115,497,874,040.16
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Solution
The fourth proportional to 211,841,708,862.12, 292,341,474,287.88 and 115,497,874,040.16 is: 159,387,020,409.62
Step by Step Solution
- Step 1: Write the proportion equation
211,841,708,862.12 : 292,341,474,287.88 = 115,497,874,040.16 : x - Step 2: Convert to fraction form
211,841,708,862.12/292,341,474,287.88 = 115,497,874,040.16/x - Step 3: Cross multiply
211,841,708,862.12x = 292,341,474,287.88 × 115,497,874,040.16 - Step 4: Simplify right side
211,841,708,862.12x = 33,764,818,774,016,238,026,752 - Step 5: Solve for x
x = 33,764,818,774,016,238,026,752/211,841,708,862.12 - Step 6: Final answer
x = 159,387,020,409.62
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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.