Finding the Fourth Proportional to 1,056,868,979,123, 1,584,654,677,249.10 and 410,720,150,515.99
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Solution
The fourth proportional to 1,056,868,979,123, 1,584,654,677,249.10 and 410,720,150,515.99 is: 615,828,092,613.43
Step by Step Solution
- Step 1: Write the proportion equation
1,056,868,979,123 : 1,584,654,677,249.10 = 410,720,150,515.99 : x - Step 2: Convert to fraction form
1,056,868,979,123/1,584,654,677,249.10 = 410,720,150,515.99/x - Step 3: Cross multiply
1,056,868,979,123x = 1,584,654,677,249.10 × 410,720,150,515.99 - Step 4: Simplify right side
1,056,868,979,123x = 650,849,607,555,617,914,880,000 - Step 5: Solve for x
x = 650,849,607,555,617,914,880,000/1,056,868,979,123 - Step 6: Final answer
x = 615,828,092,613.43
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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.