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Finding the Fourth Proportional to 374,065,587,340.20, 561,098,381,010.30 and 374,065,587,340.20

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Solution

The fourth proportional to 374,065,587,340.20, 561,098,381,010.30 and 374,065,587,340.20 is: 561,098,381,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,065,587,340.20 : 561,098,381,010.30 = 374,065,587,340.20 : x
  2. Step 2: Convert to fraction form
    374,065,587,340.20/561,098,381,010.30 = 374,065,587,340.20/x
  3. Step 3: Cross multiply
    374,065,587,340.20x = 561,098,381,010.30 × 374,065,587,340.20
  4. Step 4: Simplify right side
    374,065,587,340.20x = 209,887,595,448,253,229,826,048
  5. Step 5: Solve for x
    x = 209,887,595,448,253,229,826,048/374,065,587,340.20
  6. Step 6: Final answer
    x = 561,098,381,010.30

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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.