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Finding the Fourth Proportional to 413,161,046.10, 619,741,569.15 and 413,161,046.10

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Solution

The fourth proportional to 413,161,046.10, 619,741,569.15 and 413,161,046.10 is: 619,741,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,161,046.10 : 619,741,569.15 = 413,161,046.10 : x
  2. Step 2: Convert to fraction form
    413,161,046.10/619,741,569.15 = 413,161,046.10/x
  3. Step 3: Cross multiply
    413,161,046.10x = 619,741,569.15 × 413,161,046.10
  4. Step 4: Simplify right side
    413,161,046.10x = 256,053,075,021,669,504
  5. Step 5: Solve for x
    x = 256,053,075,021,669,504/413,161,046.10
  6. Step 6: Final answer
    x = 619,741,569.15

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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.