Finding the Fourth Proportional to 1,982,820,236,159.90, 2,975,588,940,865.60 and 692,031,490,029.10
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Solution
The fourth proportional to 1,982,820,236,159.90, 2,975,588,940,865.60 and 692,031,490,029.10 is: 1,038,521,400,431.82
Step by Step Solution
- Step 1: Write the proportion equation
1,982,820,236,159.90 : 2,975,588,940,865.60 = 692,031,490,029.10 : x - Step 2: Convert to fraction form
1,982,820,236,159.90/2,975,588,940,865.60 = 692,031,490,029.10/x - Step 3: Cross multiply
1,982,820,236,159.90x = 2,975,588,940,865.60 × 692,031,490,029.10 - Step 4: Simplify right side
1,982,820,236,159.90x = 2,059,201,248,461,332,659,830,784 - Step 5: Solve for x
x = 2,059,201,248,461,332,659,830,784/1,982,820,236,159.90 - Step 6: Final answer
x = 1,038,521,400,431.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.