Finding the Fourth Proportional to 977,281,921,103.16, 1,348,649,271,259.30 and 537,819,305,339.66
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Solution
The fourth proportional to 977,281,921,103.16, 1,348,649,271,259.30 and 537,819,305,339.66 is: 742,190,762,514.83
Step by Step Solution
- Step 1: Write the proportion equation
977,281,921,103.16 : 1,348,649,271,259.30 = 537,819,305,339.66 : x - Step 2: Convert to fraction form
977,281,921,103.16/1,348,649,271,259.30 = 537,819,305,339.66/x - Step 3: Cross multiply
977,281,921,103.16x = 1,348,649,271,259.30 × 537,819,305,339.66 - Step 4: Simplify right side
977,281,921,103.16x = 725,329,614,215,515,440,414,720 - Step 5: Solve for x
x = 725,329,614,215,515,440,414,720/977,281,921,103.16 - Step 6: Final answer
x = 742,190,762,514.83
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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.