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Finding the Fourth Proportional to 861,643,019,618.70, 1,292,464,529,428.20 and 861,643,019,618.70

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Solution

The fourth proportional to 861,643,019,618.70, 1,292,464,529,428.20 and 861,643,019,618.70 is: 1,292,464,529,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,643,019,618.70 : 1,292,464,529,428.20 = 861,643,019,618.70 : x
  2. Step 2: Convert to fraction form
    861,643,019,618.70/1,292,464,529,428.20 = 861,643,019,618.70/x
  3. Step 3: Cross multiply
    861,643,019,618.70x = 1,292,464,529,428.20 × 861,643,019,618.70
  4. Step 4: Simplify right side
    861,643,019,618.70x = 1,113,643,039,886,576,275,423,232
  5. Step 5: Solve for x
    x = 1,113,643,039,886,576,275,423,232/861,643,019,618.70
  6. Step 6: Final answer
    x = 1,292,464,529,428.20

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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.