Finding the Fourth Proportional to 854,292,267,444.75, 1,178,924,496,521.60 and 463,658,837,219.59
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Solution
The fourth proportional to 854,292,267,444.75, 1,178,924,496,521.60 and 463,658,837,219.59 is: 639,849,828,984.02
Step by Step Solution
- Step 1: Write the proportion equation
854,292,267,444.75 : 1,178,924,496,521.60 = 463,658,837,219.59 : x - Step 2: Convert to fraction form
854,292,267,444.75/1,178,924,496,521.60 = 463,658,837,219.59/x - Step 3: Cross multiply
854,292,267,444.75x = 1,178,924,496,521.60 × 463,658,837,219.59 - Step 4: Simplify right side
854,292,267,444.75x = 546,618,761,226,895,694,495,744 - Step 5: Solve for x
x = 546,618,761,226,895,694,495,744/854,292,267,444.75 - Step 6: Final answer
x = 639,849,828,984.02
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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.