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Finding the Fourth Proportional to 200,596,501.45, 280,261,145.75 and 200,596,501.45

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Solution

The fourth proportional to 200,596,501.45, 280,261,145.75 and 200,596,501.45 is: 280,261,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,501.45 : 280,261,145.75 = 200,596,501.45 : x
  2. Step 2: Convert to fraction form
    200,596,501.45/280,261,145.75 = 200,596,501.45/x
  3. Step 3: Cross multiply
    200,596,501.45x = 280,261,145.75 × 200,596,501.45
  4. Step 4: Simplify right side
    200,596,501.45x = 56,219,405,329,818,536
  5. Step 5: Solve for x
    x = 56,219,405,329,818,536/200,596,501.45
  6. Step 6: Final answer
    x = 280,261,145.75

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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.