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Finding the Fourth Proportional to 9,142,909.20, 13,714,363.80 and 9,142,909.20

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Solution

The fourth proportional to 9,142,909.20, 13,714,363.80 and 9,142,909.20 is: 13,714,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142,909.20 : 13,714,363.80 = 9,142,909.20 : x
  2. Step 2: Convert to fraction form
    9,142,909.20/13,714,363.80 = 9,142,909.20/x
  3. Step 3: Cross multiply
    9,142,909.20x = 13,714,363.80 × 9,142,909.20
  4. Step 4: Simplify right side
    9,142,909.20x = 125,389,182,959,166.95
  5. Step 5: Solve for x
    x = 125,389,182,959,166.95/9,142,909.20
  6. Step 6: Final answer
    x = 13,714,363.80

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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.