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Finding the Fourth Proportional to 938,487,939.20, 1,316,604,092.80 and 938,487,939.20

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Solution

The fourth proportional to 938,487,939.20, 1,316,604,092.80 and 938,487,939.20 is: 1,316,604,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,487,939.20 : 1,316,604,092.80 = 938,487,939.20 : x
  2. Step 2: Convert to fraction form
    938,487,939.20/1,316,604,092.80 = 938,487,939.20/x
  3. Step 3: Cross multiply
    938,487,939.20x = 1,316,604,092.80 × 938,487,939.20
  4. Step 4: Simplify right side
    938,487,939.20x = 1,235,617,061,794,157,568
  5. Step 5: Solve for x
    x = 1,235,617,061,794,157,568/938,487,939.20
  6. Step 6: Final answer
    x = 1,316,604,092.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.