Finding the Fourth Proportional to 582,201,326,482.71, 873,319,780,903.05 and 199,740,036,925.49
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Solution
The fourth proportional to 582,201,326,482.71, 873,319,780,903.05 and 199,740,036,925.49 is: 299,616,159,137.21
Step by Step Solution
- Step 1: Write the proportion equation
582,201,326,482.71 : 873,319,780,903.05 = 199,740,036,925.49 : x - Step 2: Convert to fraction form
582,201,326,482.71/873,319,780,903.05 = 199,740,036,925.49/x - Step 3: Cross multiply
582,201,326,482.71x = 873,319,780,903.05 × 199,740,036,925.49 - Step 4: Simplify right side
582,201,326,482.71x = 174,436,925,285,336,046,632,960 - Step 5: Solve for x
x = 174,436,925,285,336,046,632,960/582,201,326,482.71 - Step 6: Final answer
x = 299,616,159,137.21
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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.