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Finding the Fourth Proportional to 10,203,969,892.90, 15,281,768,368.95 and 10,203,969,892.90

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Solution

The fourth proportional to 10,203,969,892.90, 15,281,768,368.95 and 10,203,969,892.90 is: 15,281,768,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,969,892.90 : 15,281,768,368.95 = 10,203,969,892.90 : x
  2. Step 2: Convert to fraction form
    10,203,969,892.90/15,281,768,368.95 = 10,203,969,892.90/x
  3. Step 3: Cross multiply
    10,203,969,892.90x = 15,281,768,368.95 × 10,203,969,892.90
  4. Step 4: Simplify right side
    10,203,969,892.90x = 155,934,704,347,037,335,552
  5. Step 5: Solve for x
    x = 155,934,704,347,037,335,552/10,203,969,892.90
  6. Step 6: Final answer
    x = 15,281,768,368.95

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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.