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Finding the Fourth Proportional to 233,065,399.65, 325,686,897.75 and 233,065,399.65

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Solution

The fourth proportional to 233,065,399.65, 325,686,897.75 and 233,065,399.65 is: 325,686,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,065,399.65 : 325,686,897.75 = 233,065,399.65 : x
  2. Step 2: Convert to fraction form
    233,065,399.65/325,686,897.75 = 233,065,399.65/x
  3. Step 3: Cross multiply
    233,065,399.65x = 325,686,897.75 × 233,065,399.65
  4. Step 4: Simplify right side
    233,065,399.65x = 75,906,346,984,872,432
  5. Step 5: Solve for x
    x = 75,906,346,984,872,432/233,065,399.65
  6. Step 6: Final answer
    x = 325,686,897.75

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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.