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Finding the Fourth Proportional to 194,773,185,309.30, 292,159,777,963.95 and 194,773,185,309.30

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Solution

The fourth proportional to 194,773,185,309.30, 292,159,777,963.95 and 194,773,185,309.30 is: 292,159,777,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773,185,309.30 : 292,159,777,963.95 = 194,773,185,309.30 : x
  2. Step 2: Convert to fraction form
    194,773,185,309.30/292,159,777,963.95 = 194,773,185,309.30/x
  3. Step 3: Cross multiply
    194,773,185,309.30x = 292,159,777,963.95 × 194,773,185,309.30
  4. Step 4: Simplify right side
    194,773,185,309.30x = 56,904,890,573,296,374,906,880
  5. Step 5: Solve for x
    x = 56,904,890,573,296,374,906,880/194,773,185,309.30
  6. Step 6: Final answer
    x = 292,159,777,963.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.