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Finding the Fourth Proportional to 40,645,152,128.20, 60,967,728,192.30 and 40,645,152,128.20

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Solution

The fourth proportional to 40,645,152,128.20, 60,967,728,192.30 and 40,645,152,128.20 is: 60,967,728,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,645,152,128.20 : 60,967,728,192.30 = 40,645,152,128.20 : x
  2. Step 2: Convert to fraction form
    40,645,152,128.20/60,967,728,192.30 = 40,645,152,128.20/x
  3. Step 3: Cross multiply
    40,645,152,128.20x = 60,967,728,192.30 × 40,645,152,128.20
  4. Step 4: Simplify right side
    40,645,152,128.20x = 2,478,042,587,286,781,558,784
  5. Step 5: Solve for x
    x = 2,478,042,587,286,781,558,784/40,645,152,128.20
  6. Step 6: Final answer
    x = 60,967,728,192.30

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