Finding the Fourth Proportional to 1,405,221,033,536.90, 1,938,491,340,047.10 and 917,765,305,416.75
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Solution
The fourth proportional to 1,405,221,033,536.90, 1,938,491,340,047.10 and 917,765,305,416.75 is: 1,266,050,005,149.84
Step by Step Solution
- Step 1: Write the proportion equation
1,405,221,033,536.90 : 1,938,491,340,047.10 = 917,765,305,416.75 : x - Step 2: Convert to fraction form
1,405,221,033,536.90/1,938,491,340,047.10 = 917,765,305,416.75/x - Step 3: Cross multiply
1,405,221,033,536.90x = 1,938,491,340,047.10 × 917,765,305,416.75 - Step 4: Simplify right side
1,405,221,033,536.90x = 1,779,080,096,746,051,731,456,000 - Step 5: Solve for x
x = 1,779,080,096,746,051,731,456,000/1,405,221,033,536.90 - Step 6: Final answer
x = 1,266,050,005,149.84
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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.