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Finding the Fourth Proportional to 539,283,842.89, 744,725,684.16 and 509,904,033.71

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Solution

The fourth proportional to 539,283,842.89, 744,725,684.16 and 509,904,033.71 is: 704,153,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,283,842.89 : 744,725,684.16 = 509,904,033.71 : x
  2. Step 2: Convert to fraction form
    539,283,842.89/744,725,684.16 = 509,904,033.71/x
  3. Step 3: Cross multiply
    539,283,842.89x = 744,725,684.16 × 509,904,033.71
  4. Step 4: Simplify right side
    539,283,842.89x = 379,738,630,356,899,776
  5. Step 5: Solve for x
    x = 379,738,630,356,899,776/539,283,842.89
  6. Step 6: Final answer
    x = 704,153,546.16

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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.