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Finding the Fourth Proportional to 559,651,698, 772,315,029.97 and 308,766,664.06

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Solution

The fourth proportional to 559,651,698, 772,315,029.97 and 308,766,664.06 is: 426,095,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,651,698 : 772,315,029.97 = 308,766,664.06 : x
  2. Step 2: Convert to fraction form
    559,651,698/772,315,029.97 = 308,766,664.06/x
  3. Step 3: Cross multiply
    559,651,698x = 772,315,029.97 × 308,766,664.06
  4. Step 4: Simplify right side
    559,651,698x = 238,465,135,404,533,120
  5. Step 5: Solve for x
    x = 238,465,135,404,533,120/559,651,698
  6. Step 6: Final answer
    x = 426,095,616.71

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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.