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Finding the Fourth Proportional to 861,643,019,615.20, 1,292,464,529,422.80 and 861,643,019,615.20

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Solution

The fourth proportional to 861,643,019,615.20, 1,292,464,529,422.80 and 861,643,019,615.20 is: 1,292,464,529,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,643,019,615.20 : 1,292,464,529,422.80 = 861,643,019,615.20 : x
  2. Step 2: Convert to fraction form
    861,643,019,615.20/1,292,464,529,422.80 = 861,643,019,615.20/x
  3. Step 3: Cross multiply
    861,643,019,615.20x = 1,292,464,529,422.80 × 861,643,019,615.20
  4. Step 4: Simplify right side
    861,643,019,615.20x = 1,113,643,039,877,399,943,577,600
  5. Step 5: Solve for x
    x = 1,113,643,039,877,399,943,577,600/861,643,019,615.20
  6. Step 6: Final answer
    x = 1,292,464,529,422.80

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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.