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Finding the Fourth Proportional to 484,569,218,332.80, 726,853,827,499.20 and 484,569,218,332.80

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Solution

The fourth proportional to 484,569,218,332.80, 726,853,827,499.20 and 484,569,218,332.80 is: 726,853,827,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,569,218,332.80 : 726,853,827,499.20 = 484,569,218,332.80 : x
  2. Step 2: Convert to fraction form
    484,569,218,332.80/726,853,827,499.20 = 484,569,218,332.80/x
  3. Step 3: Cross multiply
    484,569,218,332.80x = 726,853,827,499.20 × 484,569,218,332.80
  4. Step 4: Simplify right side
    484,569,218,332.80x = 352,210,991,033,491,140,902,912
  5. Step 5: Solve for x
    x = 352,210,991,033,491,140,902,912/484,569,218,332.80
  6. Step 6: Final answer
    x = 726,853,827,499.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.