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Finding the Fourth Proportional to 309,870,601.20, 464,805,901.80 and 309,870,601.20

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Solution

The fourth proportional to 309,870,601.20, 464,805,901.80 and 309,870,601.20 is: 464,805,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870,601.20 : 464,805,901.80 = 309,870,601.20 : x
  2. Step 2: Convert to fraction form
    309,870,601.20/464,805,901.80 = 309,870,601.20/x
  3. Step 3: Cross multiply
    309,870,601.20x = 464,805,901.80 × 309,870,601.20
  4. Step 4: Simplify right side
    309,870,601.20x = 144,029,684,232,074,160
  5. Step 5: Solve for x
    x = 144,029,684,232,074,160/309,870,601.20
  6. Step 6: Final answer
    x = 464,805,901.80

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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.