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Finding the Fourth Proportional to 69,984,109.90, 97,751,005.70 and 69,984,109.90

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Solution

The fourth proportional to 69,984,109.90, 97,751,005.70 and 69,984,109.90 is: 97,751,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984,109.90 : 97,751,005.70 = 69,984,109.90 : x
  2. Step 2: Convert to fraction form
    69,984,109.90/97,751,005.70 = 69,984,109.90/x
  3. Step 3: Cross multiply
    69,984,109.90x = 97,751,005.70 × 69,984,109.90
  4. Step 4: Simplify right side
    69,984,109.90x = 6,841,017,125,744,327
  5. Step 5: Solve for x
    x = 6,841,017,125,744,327/69,984,109.90
  6. Step 6: Final answer
    x = 97,751,005.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.