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Finding the Fourth Proportional to 509,382,006.40, 764,073,009.60 and 509,382,006.40

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Solution

The fourth proportional to 509,382,006.40, 764,073,009.60 and 509,382,006.40 is: 764,073,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382,006.40 : 764,073,009.60 = 509,382,006.40 : x
  2. Step 2: Convert to fraction form
    509,382,006.40/764,073,009.60 = 509,382,006.40/x
  3. Step 3: Cross multiply
    509,382,006.40x = 764,073,009.60 × 509,382,006.40
  4. Step 4: Simplify right side
    509,382,006.40x = 389,205,042,666,134,464
  5. Step 5: Solve for x
    x = 389,205,042,666,134,464/509,382,006.40
  6. Step 6: Final answer
    x = 764,073,009.60

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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.