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Finding the Fourth Proportional to 480,458,410.80, 720,687,616.20 and 480,458,410.80

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Solution

The fourth proportional to 480,458,410.80, 720,687,616.20 and 480,458,410.80 is: 720,687,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,458,410.80 : 720,687,616.20 = 480,458,410.80 : x
  2. Step 2: Convert to fraction form
    480,458,410.80/720,687,616.20 = 480,458,410.80/x
  3. Step 3: Cross multiply
    480,458,410.80x = 720,687,616.20 × 480,458,410.80
  4. Step 4: Simplify right side
    480,458,410.80x = 346,260,426,762,692,352
  5. Step 5: Solve for x
    x = 346,260,426,762,692,352/480,458,410.80
  6. Step 6: Final answer
    x = 720,687,616.20

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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.