Finding the Fourth Proportional to 402,182,674,740.98, 603,335,999,392.18 and 137,125,072,986.75
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Solution
The fourth proportional to 402,182,674,740.98, 603,335,999,392.18 and 137,125,072,986.75 is: 205,708,744,180.66
Step by Step Solution
- Step 1: Write the proportion equation
402,182,674,740.98 : 603,335,999,392.18 = 137,125,072,986.75 : x - Step 2: Convert to fraction form
402,182,674,740.98/603,335,999,392.18 = 137,125,072,986.75/x - Step 3: Cross multiply
402,182,674,740.98x = 603,335,999,392.18 × 137,125,072,986.75 - Step 4: Simplify right side
402,182,674,740.98x = 82,732,492,952,186,436,714,496 - Step 5: Solve for x
x = 82,732,492,952,186,436,714,496/402,182,674,740.98 - Step 6: Final answer
x = 205,708,744,180.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.