Finding the Fourth Proportional to 669,078,273,781.48, 1,003,616,157,914.90 and 209,648,115,305.92
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Solution
The fourth proportional to 669,078,273,781.48, 1,003,616,157,914.90 and 209,648,115,305.92 is: 314,471,780,421.53
Step by Step Solution
- Step 1: Write the proportion equation
669,078,273,781.48 : 1,003,616,157,914.90 = 209,648,115,305.92 : x - Step 2: Convert to fraction form
669,078,273,781.48/1,003,616,157,914.90 = 209,648,115,305.92/x - Step 3: Cross multiply
669,078,273,781.48x = 1,003,616,157,914.90 × 209,648,115,305.92 - Step 4: Simplify right side
669,078,273,781.48x = 210,406,235,997,427,401,228,288 - Step 5: Solve for x
x = 210,406,235,997,427,401,228,288/669,078,273,781.48 - Step 6: Final answer
x = 314,471,780,421.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.