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Finding the Fourth Proportional to 472,437,464.80, 708,656,197.20 and 424,820,351.20

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Solution

The fourth proportional to 472,437,464.80, 708,656,197.20 and 424,820,351.20 is: 637,230,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,437,464.80 : 708,656,197.20 = 424,820,351.20 : x
  2. Step 2: Convert to fraction form
    472,437,464.80/708,656,197.20 = 424,820,351.20/x
  3. Step 3: Cross multiply
    472,437,464.80x = 708,656,197.20 × 424,820,351.20
  4. Step 4: Simplify right side
    472,437,464.80x = 301,051,574,574,560,448
  5. Step 5: Solve for x
    x = 301,051,574,574,560,448/472,437,464.80
  6. Step 6: Final answer
    x = 637,230,526.80

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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.