Finding the Fourth Proportional to 763,923,260,541.95, 1,054,217,377,012.90 and 416,701,106,252.08
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Solution
The fourth proportional to 763,923,260,541.95, 1,054,217,377,012.90 and 416,701,106,252.08 is: 575,049,314,403.38
Step by Step Solution
- Step 1: Write the proportion equation
763,923,260,541.95 : 1,054,217,377,012.90 = 416,701,106,252.08 : x - Step 2: Convert to fraction form
763,923,260,541.95/1,054,217,377,012.90 = 416,701,106,252.08/x - Step 3: Cross multiply
763,923,260,541.95x = 1,054,217,377,012.90 × 416,701,106,252.08 - Step 4: Simplify right side
763,923,260,541.95x = 439,293,547,231,441,527,504,896 - Step 5: Solve for x
x = 439,293,547,231,441,527,504,896/763,923,260,541.95 - Step 6: Final answer
x = 575,049,314,403.38
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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.