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Finding the Fourth Proportional to 861,643,019,620.20, 1,292,464,529,430.30 and 861,643,019,620.20

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Solution

The fourth proportional to 861,643,019,620.20, 1,292,464,529,430.30 and 861,643,019,620.20 is: 1,292,464,529,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,643,019,620.20 : 1,292,464,529,430.30 = 861,643,019,620.20 : x
  2. Step 2: Convert to fraction form
    861,643,019,620.20/1,292,464,529,430.30 = 861,643,019,620.20/x
  3. Step 3: Cross multiply
    861,643,019,620.20x = 1,292,464,529,430.30 × 861,643,019,620.20
  4. Step 4: Simplify right side
    861,643,019,620.20x = 1,113,643,039,890,324,573,913,088
  5. Step 5: Solve for x
    x = 1,113,643,039,890,324,573,913,088/861,643,019,620.20
  6. Step 6: Final answer
    x = 1,292,464,529,430.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.