Finding the Fourth Proportional to 16,123,140,748,229, 24,201,921,657,038 and 6,948,726,163,025.40
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Solution
The fourth proportional to 16,123,140,748,229, 24,201,921,657,038 and 6,948,726,163,025.40 is: 10,430,506,614,055.54
Step by Step Solution
- Step 1: Write the proportion equation
16,123,140,748,229 : 24,201,921,657,038 = 6,948,726,163,025.40 : x - Step 2: Convert to fraction form
16,123,140,748,229/24,201,921,657,038 = 6,948,726,163,025.40/x - Step 3: Cross multiply
16,123,140,748,229x = 24,201,921,657,038 × 6,948,726,163,025.40 - Step 4: Simplify right side
16,123,140,748,229x = 168,172,526,213,751,016,838,397,952 - Step 5: Solve for x
x = 168,172,526,213,751,016,838,397,952/16,123,140,748,229 - Step 6: Final answer
x = 10,430,506,614,055.54
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.