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Finding the Fourth Proportional to 10,203,969,932.40, 15,281,768,428.20 and 10,203,969,932.40

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Solution

The fourth proportional to 10,203,969,932.40, 15,281,768,428.20 and 10,203,969,932.40 is: 15,281,768,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,969,932.40 : 15,281,768,428.20 = 10,203,969,932.40 : x
  2. Step 2: Convert to fraction form
    10,203,969,932.40/15,281,768,428.20 = 10,203,969,932.40/x
  3. Step 3: Cross multiply
    10,203,969,932.40x = 15,281,768,428.20 × 10,203,969,932.40
  4. Step 4: Simplify right side
    10,203,969,932.40x = 155,934,705,555,252,412,416
  5. Step 5: Solve for x
    x = 155,934,705,555,252,412,416/10,203,969,932.40
  6. Step 6: Final answer
    x = 15,281,768,428.20

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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.