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Finding the Fourth Proportional to 559,710,385.90, 772,648,040.37 and 361,568,513.68

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Solution

The fourth proportional to 559,710,385.90, 772,648,040.37 and 361,568,513.68 is: 499,124,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,710,385.90 : 772,648,040.37 = 361,568,513.68 : x
  2. Step 2: Convert to fraction form
    559,710,385.90/772,648,040.37 = 361,568,513.68/x
  3. Step 3: Cross multiply
    559,710,385.90x = 772,648,040.37 × 361,568,513.68
  4. Step 4: Simplify right side
    559,710,385.90x = 279,365,203,554,345,536
  5. Step 5: Solve for x
    x = 279,365,203,554,345,536/559,710,385.90
  6. Step 6: Final answer
    x = 499,124,566.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.