Finding the Fourth Proportional to 16,400,661,456,335, 24,583,771,215,036 and 5,518,137,029,888
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Solution
The fourth proportional to 16,400,661,456,335, 24,583,771,215,036 and 5,518,137,029,888 is: 8,271,411,408,445.69
Step by Step Solution
- Step 1: Write the proportion equation
16,400,661,456,335 : 24,583,771,215,036 = 5,518,137,029,888 : x - Step 2: Convert to fraction form
16,400,661,456,335/24,583,771,215,036 = 5,518,137,029,888/x - Step 3: Cross multiply
16,400,661,456,335x = 24,583,771,215,036 × 5,518,137,029,888 - Step 4: Simplify right side
16,400,661,456,335x = 135,656,618,275,984,855,435,051,008 - Step 5: Solve for x
x = 135,656,618,275,984,855,435,051,008/16,400,661,456,335 - Step 6: Final answer
x = 8,271,411,408,445.69
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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.