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Finding the Fourth Proportional to 702,470,014.20, 1,053,705,021.30 and 659,423,293.20

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Solution

The fourth proportional to 702,470,014.20, 1,053,705,021.30 and 659,423,293.20 is: 989,134,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,470,014.20 : 1,053,705,021.30 = 659,423,293.20 : x
  2. Step 2: Convert to fraction form
    702,470,014.20/1,053,705,021.30 = 659,423,293.20/x
  3. Step 3: Cross multiply
    702,470,014.20x = 1,053,705,021.30 × 659,423,293.20
  4. Step 4: Simplify right side
    702,470,014.20x = 694,837,635,207,022,208
  5. Step 5: Solve for x
    x = 694,837,635,207,022,208/702,470,014.20
  6. Step 6: Final answer
    x = 989,134,939.80

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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.