Finding the Fourth Proportional to 1,663,006,697.84, 2,294,921,405.40 and 920,434,862.96
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Solution
The fourth proportional to 1,663,006,697.84, 2,294,921,405.40 and 920,434,862.96 is: 1,270,184,703.42
Step by Step Solution
- Step 1: Write the proportion equation
1,663,006,697.84 : 2,294,921,405.40 = 920,434,862.96 : x - Step 2: Convert to fraction form
1,663,006,697.84/2,294,921,405.40 = 920,434,862.96/x - Step 3: Cross multiply
1,663,006,697.84x = 2,294,921,405.40 × 920,434,862.96 - Step 4: Simplify right side
1,663,006,697.84x = 2,112,325,669,283,319,808 - Step 5: Solve for x
x = 2,112,325,669,283,319,808/1,663,006,697.84 - Step 6: Final answer
x = 1,270,184,703.42
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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.