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Finding the Fourth Proportional to 463,306,510.72, 697,464,520.77 and 422,072,391.12

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Solution

The fourth proportional to 463,306,510.72, 697,464,520.77 and 422,072,391.12 is: 635,390,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,306,510.72 : 697,464,520.77 = 422,072,391.12 : x
  2. Step 2: Convert to fraction form
    463,306,510.72/697,464,520.77 = 422,072,391.12/x
  3. Step 3: Cross multiply
    463,306,510.72x = 697,464,520.77 × 422,072,391.12
  4. Step 4: Simplify right side
    463,306,510.72x = 294,380,517,997,161,088
  5. Step 5: Solve for x
    x = 294,380,517,997,161,088/463,306,510.72
  6. Step 6: Final answer
    x = 635,390,419.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.