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Finding the Fourth Proportional to 304,704,948.07, 456,996,313.68 and 149,191,752.07

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Solution

The fourth proportional to 304,704,948.07, 456,996,313.68 and 149,191,752.07 is: 223,757,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,704,948.07 : 456,996,313.68 = 149,191,752.07 : x
  2. Step 2: Convert to fraction form
    304,704,948.07/456,996,313.68 = 149,191,752.07/x
  3. Step 3: Cross multiply
    304,704,948.07x = 456,996,313.68 × 149,191,752.07
  4. Step 4: Simplify right side
    304,704,948.07x = 68,180,080,727,450,504
  5. Step 5: Solve for x
    x = 68,180,080,727,450,504/304,704,948.07
  6. Step 6: Final answer
    x = 223,757,707.77

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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.