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Finding the Fourth Proportional to 345,812,007.80, 518,718,011.70 and 345,812,007.80

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Solution

The fourth proportional to 345,812,007.80, 518,718,011.70 and 345,812,007.80 is: 518,718,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,812,007.80 : 518,718,011.70 = 345,812,007.80 : x
  2. Step 2: Convert to fraction form
    345,812,007.80/518,718,011.70 = 345,812,007.80/x
  3. Step 3: Cross multiply
    345,812,007.80x = 518,718,011.70 × 345,812,007.80
  4. Step 4: Simplify right side
    345,812,007.80x = 179,378,917,108,000,896
  5. Step 5: Solve for x
    x = 179,378,917,108,000,896/345,812,007.80
  6. Step 6: Final answer
    x = 518,718,011.70

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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.