Finding the Fourth Proportional to 800,031,478,965.98, 1,104,044,258,064.80 and 434,225,757,671.85
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Solution
The fourth proportional to 800,031,478,965.98, 1,104,044,258,064.80 and 434,225,757,671.85 is: 599,231,989,072.56
Step by Step Solution
- Step 1: Write the proportion equation
800,031,478,965.98 : 1,104,044,258,064.80 = 434,225,757,671.85 : x - Step 2: Convert to fraction form
800,031,478,965.98/1,104,044,258,064.80 = 434,225,757,671.85/x - Step 3: Cross multiply
800,031,478,965.98x = 1,104,044,258,064.80 × 434,225,757,671.85 - Step 4: Simplify right side
800,031,478,965.98x = 479,404,454,461,443,246,391,296 - Step 5: Solve for x
x = 479,404,454,461,443,246,391,296/800,031,478,965.98 - Step 6: Final answer
x = 599,231,989,072.56
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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.