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Finding the Fourth Proportional to 480,458,429.80, 720,687,644.70 and 480,458,429.80

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Solution

The fourth proportional to 480,458,429.80, 720,687,644.70 and 480,458,429.80 is: 720,687,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,458,429.80 : 720,687,644.70 = 480,458,429.80 : x
  2. Step 2: Convert to fraction form
    480,458,429.80/720,687,644.70 = 480,458,429.80/x
  3. Step 3: Cross multiply
    480,458,429.80x = 720,687,644.70 × 480,458,429.80
  4. Step 4: Simplify right side
    480,458,429.80x = 346,260,454,148,822,336
  5. Step 5: Solve for x
    x = 346,260,454,148,822,336/480,458,429.80
  6. Step 6: Final answer
    x = 720,687,644.70

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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.