Finding the Fourth Proportional to 932,403,801.97, 1,286,710,701.02 and 509,017,463.13
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Solution
The fourth proportional to 932,403,801.97, 1,286,710,701.02 and 509,017,463.13 is: 702,440,525.69
Step by Step Solution
- Step 1: Write the proportion equation
932,403,801.97 : 1,286,710,701.02 = 509,017,463.13 : x - Step 2: Convert to fraction form
932,403,801.97/1,286,710,701.02 = 509,017,463.13/x - Step 3: Cross multiply
932,403,801.97x = 1,286,710,701.02 × 509,017,463.13 - Step 4: Simplify right side
932,403,801.97x = 654,958,216,812,879,232 - Step 5: Solve for x
x = 654,958,216,812,879,232/932,403,801.97 - Step 6: Final answer
x = 702,440,525.69
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Double scale
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1.5x scale
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.