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Finding the Fourth Proportional to 200,596,501.45, 300,894,752.18 and 200,596,501.45

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Solution

The fourth proportional to 200,596,501.45, 300,894,752.18 and 200,596,501.45 is: 300,894,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,501.45 : 300,894,752.18 = 200,596,501.45 : x
  2. Step 2: Convert to fraction form
    200,596,501.45/300,894,752.18 = 200,596,501.45/x
  3. Step 3: Cross multiply
    200,596,501.45x = 300,894,752.18 × 200,596,501.45
  4. Step 4: Simplify right side
    200,596,501.45x = 60,358,434,591,972,760
  5. Step 5: Solve for x
    x = 60,358,434,591,972,760/200,596,501.45
  6. Step 6: Final answer
    x = 300,894,752.18

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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.