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Finding the Fourth Proportional to 10,703,785,608.30, 16,055,678,412.45 and 10,703,785,608.30

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Solution

The fourth proportional to 10,703,785,608.30, 16,055,678,412.45 and 10,703,785,608.30 is: 16,055,678,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703,785,608.30 : 16,055,678,412.45 = 10,703,785,608.30 : x
  2. Step 2: Convert to fraction form
    10,703,785,608.30/16,055,678,412.45 = 10,703,785,608.30/x
  3. Step 3: Cross multiply
    10,703,785,608.30x = 16,055,678,412.45 × 10,703,785,608.30
  4. Step 4: Simplify right side
    10,703,785,608.30x = 171,856,539,522,675,310,592
  5. Step 5: Solve for x
    x = 171,856,539,522,675,310,592/10,703,785,608.30
  6. Step 6: Final answer
    x = 16,055,678,412.45

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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.