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Finding the Fourth Proportional to 968,522,791,502.75, 1,452,784,187,254.20 and 968,522,791,502.75

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Solution

The fourth proportional to 968,522,791,502.75, 1,452,784,187,254.20 and 968,522,791,502.75 is: 1,452,784,187,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,522,791,502.75 : 1,452,784,187,254.20 = 968,522,791,502.75 : x
  2. Step 2: Convert to fraction form
    968,522,791,502.75/1,452,784,187,254.20 = 968,522,791,502.75/x
  3. Step 3: Cross multiply
    968,522,791,502.75x = 1,452,784,187,254.20 × 968,522,791,502.75
  4. Step 4: Simplify right side
    968,522,791,502.75x = 1,407,054,596,490,491,731,116,032
  5. Step 5: Solve for x
    x = 1,407,054,596,490,491,731,116,032/968,522,791,502.75
  6. Step 6: Final answer
    x = 1,452,784,187,254.20

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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.