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Finding the Fourth Proportional to 15,894,970,564.40, 23,842,455,846.60 and 15,894,970,564.40

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Solution

The fourth proportional to 15,894,970,564.40, 23,842,455,846.60 and 15,894,970,564.40 is: 23,842,455,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894,970,564.40 : 23,842,455,846.60 = 15,894,970,564.40 : x
  2. Step 2: Convert to fraction form
    15,894,970,564.40/23,842,455,846.60 = 15,894,970,564.40/x
  3. Step 3: Cross multiply
    15,894,970,564.40x = 23,842,455,846.60 × 15,894,970,564.40
  4. Step 4: Simplify right side
    15,894,970,564.40x = 378,975,133,864,713,650,176
  5. Step 5: Solve for x
    x = 378,975,133,864,713,650,176/15,894,970,564.40
  6. Step 6: Final answer
    x = 23,842,455,846.60

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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.