Finding the Fourth Proportional to 1,789,841,470,849.80, 2,469,982,218,911.20 and 966,778,423,393.08
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Solution
The fourth proportional to 1,789,841,470,849.80, 2,469,982,218,911.20 and 966,778,423,393.08 is: 1,334,154,758,563.14
Step by Step Solution
- Step 1: Write the proportion equation
1,789,841,470,849.80 : 2,469,982,218,911.20 = 966,778,423,393.08 : x - Step 2: Convert to fraction form
1,789,841,470,849.80/2,469,982,218,911.20 = 966,778,423,393.08/x - Step 3: Cross multiply
1,789,841,470,849.80x = 2,469,982,218,911.20 × 966,778,423,393.08 - Step 4: Simplify right side
1,789,841,470,849.80x = 2,387,925,515,407,911,339,163,648 - Step 5: Solve for x
x = 2,387,925,515,407,911,339,163,648/1,789,841,470,849.80 - Step 6: Final answer
x = 1,334,154,758,563.14
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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.