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Finding the Fourth Proportional to 861,643,019,615.70, 1,292,464,529,423.70 and 861,643,019,615.70

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Solution

The fourth proportional to 861,643,019,615.70, 1,292,464,529,423.70 and 861,643,019,615.70 is: 1,292,464,529,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,643,019,615.70 : 1,292,464,529,423.70 = 861,643,019,615.70 : x
  2. Step 2: Convert to fraction form
    861,643,019,615.70/1,292,464,529,423.70 = 861,643,019,615.70/x
  3. Step 3: Cross multiply
    861,643,019,615.70x = 1,292,464,529,423.70 × 861,643,019,615.70
  4. Step 4: Simplify right side
    861,643,019,615.70x = 1,113,643,039,878,821,443,534,848
  5. Step 5: Solve for x
    x = 1,113,643,039,878,821,443,534,848/861,643,019,615.70
  6. Step 6: Final answer
    x = 1,292,464,529,423.70

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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.