Finding the Fourth Proportional to 1,280,842,764,385.70, 1,767,595,536,693 and 702,779,129,962.14
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Solution
The fourth proportional to 1,280,842,764,385.70, 1,767,595,536,693 and 702,779,129,962.14 is: 969,853,043,591.85
Step by Step Solution
- Step 1: Write the proportion equation
1,280,842,764,385.70 : 1,767,595,536,693 = 702,779,129,962.14 : x - Step 2: Convert to fraction form
1,280,842,764,385.70/1,767,595,536,693 = 702,779,129,962.14/x - Step 3: Cross multiply
1,280,842,764,385.70x = 1,767,595,536,693 × 702,779,129,962.14 - Step 4: Simplify right side
1,280,842,764,385.70x = 1,242,229,253,402,068,382,646,272 - Step 5: Solve for x
x = 1,242,229,253,402,068,382,646,272/1,280,842,764,385.70 - Step 6: Final answer
x = 969,853,043,591.85
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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.