Finding the Fourth Proportional to 749,290,118,182.57, 1,123,802,319,426.20 and 340,780,806,167.90
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Solution
The fourth proportional to 749,290,118,182.57, 1,123,802,319,426.20 and 340,780,806,167.90 is: 511,110,784,853.70
Step by Step Solution
- Step 1: Write the proportion equation
749,290,118,182.57 : 1,123,802,319,426.20 = 340,780,806,167.90 : x - Step 2: Convert to fraction form
749,290,118,182.57/1,123,802,319,426.20 = 340,780,806,167.90/x - Step 3: Cross multiply
749,290,118,182.57x = 1,123,802,319,426.20 × 340,780,806,167.90 - Step 4: Simplify right side
749,290,118,182.57x = 382,970,260,387,416,296,652,800 - Step 5: Solve for x
x = 382,970,260,387,416,296,652,800/749,290,118,182.57 - Step 6: Final answer
x = 511,110,784,853.70
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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.