Finding the Fourth Proportional to 1,280,842,764,387.70, 1,767,595,536,695.80 and 702,779,129,964.14
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Solution
The fourth proportional to 1,280,842,764,387.70, 1,767,595,536,695.80 and 702,779,129,964.14 is: 969,853,043,594.63
Step by Step Solution
- Step 1: Write the proportion equation
1,280,842,764,387.70 : 1,767,595,536,695.80 = 702,779,129,964.14 : x - Step 2: Convert to fraction form
1,280,842,764,387.70/1,767,595,536,695.80 = 702,779,129,964.14/x - Step 3: Cross multiply
1,280,842,764,387.70x = 1,767,595,536,695.80 × 702,779,129,964.14 - Step 4: Simplify right side
1,280,842,764,387.70x = 1,242,229,253,407,571,577,929,728 - Step 5: Solve for x
x = 1,242,229,253,407,571,577,929,728/1,280,842,764,387.70 - Step 6: Final answer
x = 969,853,043,594.63
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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.