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Finding the Fourth Proportional to 233,065,384.90, 325,686,877.10 and 233,065,384.90

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Solution

The fourth proportional to 233,065,384.90, 325,686,877.10 and 233,065,384.90 is: 325,686,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,065,384.90 : 325,686,877.10 = 233,065,384.90 : x
  2. Step 2: Convert to fraction form
    233,065,384.90/325,686,877.10 = 233,065,384.90/x
  3. Step 3: Cross multiply
    233,065,384.90x = 325,686,877.10 × 233,065,384.90
  4. Step 4: Simplify right side
    233,065,384.90x = 75,906,337,368,190,496
  5. Step 5: Solve for x
    x = 75,906,337,368,190,496/233,065,384.90
  6. Step 6: Final answer
    x = 325,686,877.10

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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.