Finding the Fourth Proportional to 2,262,358,284.14, 3,122,005,497.96 and 1,309,779,192.84
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Solution
The fourth proportional to 2,262,358,284.14, 3,122,005,497.96 and 1,309,779,192.84 is: 1,807,466,955.98
Step by Step Solution
- Step 1: Write the proportion equation
2,262,358,284.14 : 3,122,005,497.96 = 1,309,779,192.84 : x - Step 2: Convert to fraction form
2,262,358,284.14/3,122,005,497.96 = 1,309,779,192.84/x - Step 3: Cross multiply
2,262,358,284.14x = 3,122,005,497.96 × 1,309,779,192.84 - Step 4: Simplify right side
2,262,358,284.14x = 4,089,137,841,160,090,624 - Step 5: Solve for x
x = 4,089,137,841,160,090,624/2,262,358,284.14 - Step 6: Final answer
x = 1,807,466,955.98
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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.