Finding the Fourth Proportional to 380,559,905,502.49, 525,186,477,756.17 and 218,010,967,101.19
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Solution
The fourth proportional to 380,559,905,502.49, 525,186,477,756.17 and 218,010,967,101.19 is: 300,863,044,867.82
Step by Step Solution
- Step 1: Write the proportion equation
380,559,905,502.49 : 525,186,477,756.17 = 218,010,967,101.19 : x - Step 2: Convert to fraction form
380,559,905,502.49/525,186,477,756.17 = 218,010,967,101.19/x - Step 3: Cross multiply
380,559,905,502.49x = 525,186,477,756.17 × 218,010,967,101.19 - Step 4: Simplify right side
380,559,905,502.49x = 114,496,411,924,090,236,960,768 - Step 5: Solve for x
x = 114,496,411,924,090,236,960,768/380,559,905,502.49 - Step 6: Final answer
x = 300,863,044,867.82
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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.