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Finding the Fourth Proportional to 71,742,456,069.60, 107,613,684,104.40 and 71,742,456,069.60

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Solution

The fourth proportional to 71,742,456,069.60, 107,613,684,104.40 and 71,742,456,069.60 is: 107,613,684,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742,456,069.60 : 107,613,684,104.40 = 71,742,456,069.60 : x
  2. Step 2: Convert to fraction form
    71,742,456,069.60/107,613,684,104.40 = 71,742,456,069.60/x
  3. Step 3: Cross multiply
    71,742,456,069.60x = 107,613,684,104.40 × 71,742,456,069.60
  4. Step 4: Simplify right side
    71,742,456,069.60x = 7,720,470,004,347,728,560,128
  5. Step 5: Solve for x
    x = 7,720,470,004,347,728,560,128/71,742,456,069.60
  6. Step 6: Final answer
    x = 107,613,684,104.40

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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.