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Finding the Fourth Proportional to 472,692,662.64, 652,424,713.56 and 277,185,360.24

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Solution

The fourth proportional to 472,692,662.64, 652,424,713.56 and 277,185,360.24 is: 382,579,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,692,662.64 : 652,424,713.56 = 277,185,360.24 : x
  2. Step 2: Convert to fraction form
    472,692,662.64/652,424,713.56 = 277,185,360.24/x
  3. Step 3: Cross multiply
    472,692,662.64x = 652,424,713.56 × 277,185,360.24
  4. Step 4: Simplify right side
    472,692,662.64x = 180,842,579,257,607,392
  5. Step 5: Solve for x
    x = 180,842,579,257,607,392/472,692,662.64
  6. Step 6: Final answer
    x = 382,579,620.02

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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.