Finding the Fourth Proportional to 854,292,267,250.60, 1,178,924,496,254.80 and 463,658,837,026.70
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Solution
The fourth proportional to 854,292,267,250.60, 1,178,924,496,254.80 and 463,658,837,026.70 is: 639,849,828,718.45
Step by Step Solution
- Step 1: Write the proportion equation
854,292,267,250.60 : 1,178,924,496,254.80 = 463,658,837,026.70 : x - Step 2: Convert to fraction form
854,292,267,250.60/1,178,924,496,254.80 = 463,658,837,026.70/x - Step 3: Cross multiply
854,292,267,250.60x = 1,178,924,496,254.80 × 463,658,837,026.70 - Step 4: Simplify right side
854,292,267,250.60x = 546,618,760,875,788,761,825,280 - Step 5: Solve for x
x = 546,618,760,875,788,761,825,280/854,292,267,250.60 - Step 6: Final answer
x = 639,849,828,718.45
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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.