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Finding the Fourth Proportional to 489,659,802.80, 734,318,243.40 and 144,522,042.80

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Solution

The fourth proportional to 489,659,802.80, 734,318,243.40 and 144,522,042.80 is: 216,732,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,659,802.80 : 734,318,243.40 = 144,522,042.80 : x
  2. Step 2: Convert to fraction form
    489,659,802.80/734,318,243.40 = 144,522,042.80/x
  3. Step 3: Cross multiply
    489,659,802.80x = 734,318,243.40 × 144,522,042.80
  4. Step 4: Simplify right side
    489,659,802.80x = 106,125,172,601,475,616
  5. Step 5: Solve for x
    x = 106,125,172,601,475,616/489,659,802.80
  6. Step 6: Final answer
    x = 216,732,457.91

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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.