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Finding the Fourth Proportional to 433,944,410.40, 650,916,615.60 and 261,615,808.80

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Solution

The fourth proportional to 433,944,410.40, 650,916,615.60 and 261,615,808.80 is: 392,423,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,944,410.40 : 650,916,615.60 = 261,615,808.80 : x
  2. Step 2: Convert to fraction form
    433,944,410.40/650,916,615.60 = 261,615,808.80/x
  3. Step 3: Cross multiply
    433,944,410.40x = 650,916,615.60 × 261,615,808.80
  4. Step 4: Simplify right side
    433,944,410.40x = 170,290,076,851,552,704
  5. Step 5: Solve for x
    x = 170,290,076,851,552,704/433,944,410.40
  6. Step 6: Final answer
    x = 392,423,713.20

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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.