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Finding the Fourth Proportional to 364,646,976,039.40, 546,970,464,059.10 and 364,646,976,039.40

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Solution

The fourth proportional to 364,646,976,039.40, 546,970,464,059.10 and 364,646,976,039.40 is: 546,970,464,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,646,976,039.40 : 546,970,464,059.10 = 364,646,976,039.40 : x
  2. Step 2: Convert to fraction form
    364,646,976,039.40/546,970,464,059.10 = 364,646,976,039.40/x
  3. Step 3: Cross multiply
    364,646,976,039.40x = 546,970,464,059.10 × 364,646,976,039.40
  4. Step 4: Simplify right side
    364,646,976,039.40x = 199,451,125,702,018,134,441,984
  5. Step 5: Solve for x
    x = 199,451,125,702,018,134,441,984/364,646,976,039.40
  6. Step 6: Final answer
    x = 546,970,464,059.10

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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.