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Finding the Fourth Proportional to 541,128,246.60, 811,692,369.90 and 463,644,148.80

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Solution

The fourth proportional to 541,128,246.60, 811,692,369.90 and 463,644,148.80 is: 695,466,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,128,246.60 : 811,692,369.90 = 463,644,148.80 : x
  2. Step 2: Convert to fraction form
    541,128,246.60/811,692,369.90 = 463,644,148.80/x
  3. Step 3: Cross multiply
    541,128,246.60x = 811,692,369.90 × 463,644,148.80
  4. Step 4: Simplify right side
    541,128,246.60x = 376,336,417,929,740,224
  5. Step 5: Solve for x
    x = 376,336,417,929,740,224/541,128,246.60
  6. Step 6: Final answer
    x = 695,466,223.20

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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.