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Finding the Fourth Proportional to 596,400,760.76, 894,301,779.71 and 347,486,587.88

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Solution

The fourth proportional to 596,400,760.76, 894,301,779.71 and 347,486,587.88 is: 521,055,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,400,760.76 : 894,301,779.71 = 347,486,587.88 : x
  2. Step 2: Convert to fraction form
    596,400,760.76/894,301,779.71 = 347,486,587.88/x
  3. Step 3: Cross multiply
    596,400,760.76x = 894,301,779.71 × 347,486,587.88
  4. Step 4: Simplify right side
    596,400,760.76x = 310,757,873,962,836,544
  5. Step 5: Solve for x
    x = 310,757,873,962,836,544/596,400,760.76
  6. Step 6: Final answer
    x = 521,055,462.05

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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.