Finding the Fourth Proportional to 1,616,329,711,390.60, 2,230,548,911,616.20 and 921,905,443,697.62
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Solution
The fourth proportional to 1,616,329,711,390.60, 2,230,548,911,616.20 and 921,905,443,697.62 is: 1,272,237,446,086.17
Step by Step Solution
- Step 1: Write the proportion equation
1,616,329,711,390.60 : 2,230,548,911,616.20 = 921,905,443,697.62 : x - Step 2: Convert to fraction form
1,616,329,711,390.60/2,230,548,911,616.20 = 921,905,443,697.62/x - Step 3: Cross multiply
1,616,329,711,390.60x = 2,230,548,911,616.20 × 921,905,443,697.62 - Step 4: Simplify right side
1,616,329,711,390.60x = 2,056,355,184,052,776,502,034,432 - Step 5: Solve for x
x = 2,056,355,184,052,776,502,034,432/1,616,329,711,390.60 - Step 6: Final answer
x = 1,272,237,446,086.17
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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.