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Finding the Fourth Proportional to 70,109,007.65, 105,163,511.48 and 70,109,007.65

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Solution

The fourth proportional to 70,109,007.65, 105,163,511.48 and 70,109,007.65 is: 105,163,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109,007.65 : 105,163,511.48 = 70,109,007.65 : x
  2. Step 2: Convert to fraction form
    70,109,007.65/105,163,511.48 = 70,109,007.65/x
  3. Step 3: Cross multiply
    70,109,007.65x = 105,163,511.48 × 70,109,007.65
  4. Step 4: Simplify right side
    70,109,007.65x = 7,372,909,430,501,638
  5. Step 5: Solve for x
    x = 7,372,909,430,501,638/70,109,007.65
  6. Step 6: Final answer
    x = 105,163,511.48

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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.