Finding the Fourth Proportional to 719,833,254,342.24, 1,079,634,943,575.90 and 209,772,712,676.97
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Solution
The fourth proportional to 719,833,254,342.24, 1,079,634,943,575.90 and 209,772,712,676.97 is: 314,625,573,976.45
Step by Step Solution
- Step 1: Write the proportion equation
719,833,254,342.24 : 1,079,634,943,575.90 = 209,772,712,676.97 : x - Step 2: Convert to fraction form
719,833,254,342.24/1,079,634,943,575.90 = 209,772,712,676.97/x - Step 3: Cross multiply
719,833,254,342.24x = 1,079,634,943,575.90 × 209,772,712,676.97 - Step 4: Simplify right side
719,833,254,342.24x = 226,477,950,814,764,000,083,968 - Step 5: Solve for x
x = 226,477,950,814,764,000,083,968/719,833,254,342.24 - Step 6: Final answer
x = 314,625,573,976.45
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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.