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Finding the Fourth Proportional to 442,598,963.40, 620,545,541.40 and 442,598,963.40

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Solution

The fourth proportional to 442,598,963.40, 620,545,541.40 and 442,598,963.40 is: 620,545,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,598,963.40 : 620,545,541.40 = 442,598,963.40 : x
  2. Step 2: Convert to fraction form
    442,598,963.40/620,545,541.40 = 442,598,963.40/x
  3. Step 3: Cross multiply
    442,598,963.40x = 620,545,541.40 × 442,598,963.40
  4. Step 4: Simplify right side
    442,598,963.40x = 274,652,813,366,131,744
  5. Step 5: Solve for x
    x = 274,652,813,366,131,744/442,598,963.40
  6. Step 6: Final answer
    x = 620,545,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.