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Finding the Fourth Proportional to 485,264,411.80, 727,896,617.70 and 485,264,411.80

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Solution

The fourth proportional to 485,264,411.80, 727,896,617.70 and 485,264,411.80 is: 727,896,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,264,411.80 : 727,896,617.70 = 485,264,411.80 : x
  2. Step 2: Convert to fraction form
    485,264,411.80/727,896,617.70 = 485,264,411.80/x
  3. Step 3: Cross multiply
    485,264,411.80x = 727,896,617.70 × 485,264,411.80
  4. Step 4: Simplify right side
    485,264,411.80x = 353,222,324,039,400,000
  5. Step 5: Solve for x
    x = 353,222,324,039,400,000/485,264,411.80
  6. Step 6: Final answer
    x = 727,896,617.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.