Finding the Fourth Proportional to 1,536,122,142.88, 2,303,250,141.08 and 602,326,234.74
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Solution
The fourth proportional to 1,536,122,142.88, 2,303,250,141.08 and 602,326,234.74 is: 903,123,486.35
Step by Step Solution
- Step 1: Write the proportion equation
1,536,122,142.88 : 2,303,250,141.08 = 602,326,234.74 : x - Step 2: Convert to fraction form
1,536,122,142.88/2,303,250,141.08 = 602,326,234.74/x - Step 3: Cross multiply
1,536,122,142.88x = 2,303,250,141.08 × 602,326,234.74 - Step 4: Simplify right side
1,536,122,142.88x = 1,387,307,985,141,090,048 - Step 5: Solve for x
x = 1,387,307,985,141,090,048/1,536,122,142.88 - Step 6: Final answer
x = 903,123,486.35
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1.5x scale
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.