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Finding the Fourth Proportional to 492,287,168.91, 738,432,004.06 and 201,154,292.06

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Solution

The fourth proportional to 492,287,168.91, 738,432,004.06 and 201,154,292.06 is: 301,731,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,287,168.91 : 738,432,004.06 = 201,154,292.06 : x
  2. Step 2: Convert to fraction form
    492,287,168.91/738,432,004.06 = 201,154,292.06/x
  3. Step 3: Cross multiply
    492,287,168.91x = 738,432,004.06 × 201,154,292.06
  4. Step 4: Simplify right side
    492,287,168.91x = 148,538,767,010,709,120
  5. Step 5: Solve for x
    x = 148,538,767,010,709,120/492,287,168.91
  6. Step 6: Final answer
    x = 301,731,949.14

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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.