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Finding the Fourth Proportional to 541,361,236,313.70, 812,041,854,470.55 and 541,361,236,313.70

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Solution

The fourth proportional to 541,361,236,313.70, 812,041,854,470.55 and 541,361,236,313.70 is: 812,041,854,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,361,236,313.70 : 812,041,854,470.55 = 541,361,236,313.70 : x
  2. Step 2: Convert to fraction form
    541,361,236,313.70/812,041,854,470.55 = 541,361,236,313.70/x
  3. Step 3: Cross multiply
    541,361,236,313.70x = 812,041,854,470.55 × 541,361,236,313.70
  4. Step 4: Simplify right side
    541,361,236,313.70x = 439,607,982,274,646,651,174,912
  5. Step 5: Solve for x
    x = 439,607,982,274,646,651,174,912/541,361,236,313.70
  6. Step 6: Final answer
    x = 812,041,854,470.55

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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.