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Finding the Fourth Proportional to 200,596,502.45, 280,261,147.15 and 200,596,502.45

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Solution

The fourth proportional to 200,596,502.45, 280,261,147.15 and 200,596,502.45 is: 280,261,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,502.45 : 280,261,147.15 = 200,596,502.45 : x
  2. Step 2: Convert to fraction form
    200,596,502.45/280,261,147.15 = 200,596,502.45/x
  3. Step 3: Cross multiply
    200,596,502.45x = 280,261,147.15 × 200,596,502.45
  4. Step 4: Simplify right side
    200,596,502.45x = 56,219,405,890,914,776
  5. Step 5: Solve for x
    x = 56,219,405,890,914,776/200,596,502.45
  6. Step 6: Final answer
    x = 280,261,147.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.