Finding the Fourth Proportional to 982,296,773.84, 1,355,561,233.80 and 542,254,178
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Solution
The fourth proportional to 982,296,773.84, 1,355,561,233.80 and 542,254,178 is: 748,306,176.03
Step by Step Solution
- Step 1: Write the proportion equation
982,296,773.84 : 1,355,561,233.80 = 542,254,178 : x - Step 2: Convert to fraction form
982,296,773.84/1,355,561,233.80 = 542,254,178/x - Step 3: Cross multiply
982,296,773.84x = 1,355,561,233.80 × 542,254,178 - Step 4: Simplify right side
982,296,773.84x = 735,058,742,562,884,736 - Step 5: Solve for x
x = 735,058,742,562,884,736/982,296,773.84 - Step 6: Final answer
x = 748,306,176.03
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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.