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Finding the Fourth Proportional to 697,795,259.96, 962,963,827.30 and 384,540,713.48

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Solution

The fourth proportional to 697,795,259.96, 962,963,827.30 and 384,540,713.48 is: 530,669,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,795,259.96 : 962,963,827.30 = 384,540,713.48 : x
  2. Step 2: Convert to fraction form
    697,795,259.96/962,963,827.30 = 384,540,713.48/x
  3. Step 3: Cross multiply
    697,795,259.96x = 962,963,827.30 × 384,540,713.48
  4. Step 4: Simplify right side
    697,795,259.96x = 370,298,797,205,373,504
  5. Step 5: Solve for x
    x = 370,298,797,205,373,504/697,795,259.96
  6. Step 6: Final answer
    x = 530,669,694.18

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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.