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Finding the Fourth Proportional to 1,293,642,843.20, 1,940,464,264.80 and 711,152,014.40

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Solution

The fourth proportional to 1,293,642,843.20, 1,940,464,264.80 and 711,152,014.40 is: 1,066,728,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,642,843.20 : 1,940,464,264.80 = 711,152,014.40 : x
  2. Step 2: Convert to fraction form
    1,293,642,843.20/1,940,464,264.80 = 711,152,014.40/x
  3. Step 3: Cross multiply
    1,293,642,843.20x = 1,940,464,264.80 × 711,152,014.40
  4. Step 4: Simplify right side
    1,293,642,843.20x = 1,379,965,070,783,735,040
  5. Step 5: Solve for x
    x = 1,379,965,070,783,735,040/1,293,642,843.20
  6. Step 6: Final answer
    x = 1,066,728,021.60

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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.