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Finding the Fourth Proportional to 616,481,682.48, 850,868,314.92 and 365,725,260.16

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Solution

The fourth proportional to 616,481,682.48, 850,868,314.92 and 365,725,260.16 is: 504,774,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,481,682.48 : 850,868,314.92 = 365,725,260.16 : x
  2. Step 2: Convert to fraction form
    616,481,682.48/850,868,314.92 = 365,725,260.16/x
  3. Step 3: Cross multiply
    616,481,682.48x = 850,868,314.92 × 365,725,260.16
  4. Step 4: Simplify right side
    616,481,682.48x = 311,184,035,836,017,792
  5. Step 5: Solve for x
    x = 311,184,035,836,017,792/616,481,682.48
  6. Step 6: Final answer
    x = 504,774,180.13

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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.