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Finding the Fourth Proportional to 69,984,007.65, 97,750,862.55 and 69,984,007.65

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Solution

The fourth proportional to 69,984,007.65, 97,750,862.55 and 69,984,007.65 is: 97,750,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984,007.65 : 97,750,862.55 = 69,984,007.65 : x
  2. Step 2: Convert to fraction form
    69,984,007.65/97,750,862.55 = 69,984,007.65/x
  3. Step 3: Cross multiply
    69,984,007.65x = 97,750,862.55 × 69,984,007.65
  4. Step 4: Simplify right side
    69,984,007.65x = 6,840,997,112,493,299
  5. Step 5: Solve for x
    x = 6,840,997,112,493,299/69,984,007.65
  6. Step 6: Final answer
    x = 97,750,862.55

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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.