Finding the Fourth Proportional to 1,470,288,769.80, 2,205,433,154.70 and 1,461,679,425.60
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Solution
The fourth proportional to 1,470,288,769.80, 2,205,433,154.70 and 1,461,679,425.60 is: 2,192,519,138.40
Step by Step Solution
- Step 1: Write the proportion equation
1,470,288,769.80 : 2,205,433,154.70 = 1,461,679,425.60 : x - Step 2: Convert to fraction form
1,470,288,769.80/2,205,433,154.70 = 1,461,679,425.60/x - Step 3: Cross multiply
1,470,288,769.80x = 2,205,433,154.70 × 1,461,679,425.60 - Step 4: Simplify right side
1,470,288,769.80x = 3,223,636,266,761,091,584 - Step 5: Solve for x
x = 3,223,636,266,761,091,584/1,470,288,769.80 - Step 6: Final answer
x = 2,192,519,138.40
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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.