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Finding the Fourth Proportional to 472,395,913.20, 708,593,869.80 and 429,313,762.80

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Solution

The fourth proportional to 472,395,913.20, 708,593,869.80 and 429,313,762.80 is: 643,970,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,913.20 : 708,593,869.80 = 429,313,762.80 : x
  2. Step 2: Convert to fraction form
    472,395,913.20/708,593,869.80 = 429,313,762.80/x
  3. Step 3: Cross multiply
    472,395,913.20x = 708,593,869.80 × 429,313,762.80
  4. Step 4: Simplify right side
    472,395,913.20x = 304,209,100,540,851,264
  5. Step 5: Solve for x
    x = 304,209,100,540,851,264/472,395,913.20
  6. Step 6: Final answer
    x = 643,970,644.20

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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.