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Finding the Fourth Proportional to 127,728,709,781.40, 191,593,064,672.10 and 127,728,709,781.40

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Solution

The fourth proportional to 127,728,709,781.40, 191,593,064,672.10 and 127,728,709,781.40 is: 191,593,064,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,728,709,781.40 : 191,593,064,672.10 = 127,728,709,781.40 : x
  2. Step 2: Convert to fraction form
    127,728,709,781.40/191,593,064,672.10 = 127,728,709,781.40/x
  3. Step 3: Cross multiply
    127,728,709,781.40x = 191,593,064,672.10 × 127,728,709,781.40
  4. Step 4: Simplify right side
    127,728,709,781.40x = 24,471,934,953,631,663,521,792
  5. Step 5: Solve for x
    x = 24,471,934,953,631,663,521,792/127,728,709,781.40
  6. Step 6: Final answer
    x = 191,593,064,672.10

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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.