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Finding the Fourth Proportional to 71,256,077.60, 106,884,116.40 and 71,256,077.60

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Solution

The fourth proportional to 71,256,077.60, 106,884,116.40 and 71,256,077.60 is: 106,884,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,256,077.60 : 106,884,116.40 = 71,256,077.60 : x
  2. Step 2: Convert to fraction form
    71,256,077.60/106,884,116.40 = 71,256,077.60/x
  3. Step 3: Cross multiply
    71,256,077.60x = 106,884,116.40 × 71,256,077.60
  4. Step 4: Simplify right side
    71,256,077.60x = 7,616,142,892,405,832
  5. Step 5: Solve for x
    x = 7,616,142,892,405,832/71,256,077.60
  6. Step 6: Final answer
    x = 106,884,116.40

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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.