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Finding the Fourth Proportional to 53,321,442,353.40, 79,982,163,530.10 and 53,321,442,353.40

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Solution

The fourth proportional to 53,321,442,353.40, 79,982,163,530.10 and 53,321,442,353.40 is: 79,982,163,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,321,442,353.40 : 79,982,163,530.10 = 53,321,442,353.40 : x
  2. Step 2: Convert to fraction form
    53,321,442,353.40/79,982,163,530.10 = 53,321,442,353.40/x
  3. Step 3: Cross multiply
    53,321,442,353.40x = 79,982,163,530.10 × 53,321,442,353.40
  4. Step 4: Simplify right side
    53,321,442,353.40x = 4,264,764,321,970,439,323,648
  5. Step 5: Solve for x
    x = 4,264,764,321,970,439,323,648/53,321,442,353.40
  6. Step 6: Final answer
    x = 79,982,163,530.10

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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.