Finding the Fourth Proportional to 10,312,964,017,376, 14,231,934,589,756 and 5,625,464,934,462
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Solution
The fourth proportional to 10,312,964,017,376, 14,231,934,589,756 and 5,625,464,934,462 is: 7,763,165,744,526.64
Step by Step Solution
- Step 1: Write the proportion equation
10,312,964,017,376 : 14,231,934,589,756 = 5,625,464,934,462 : x - Step 2: Convert to fraction form
10,312,964,017,376/14,231,934,589,756 = 5,625,464,934,462/x - Step 3: Cross multiply
10,312,964,017,376x = 14,231,934,589,756 × 5,625,464,934,462 - Step 4: Simplify right side
10,312,964,017,376x = 80,061,248,984,229,214,351,785,984 - Step 5: Solve for x
x = 80,061,248,984,229,214,351,785,984/10,312,964,017,376 - Step 6: Final answer
x = 7,763,165,744,526.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.