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Finding the Fourth Proportional to 233,108,802.90, 326,830,081.50 and 233,108,802.90

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Solution

The fourth proportional to 233,108,802.90, 326,830,081.50 and 233,108,802.90 is: 326,830,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,108,802.90 : 326,830,081.50 = 233,108,802.90 : x
  2. Step 2: Convert to fraction form
    233,108,802.90/326,830,081.50 = 233,108,802.90/x
  3. Step 3: Cross multiply
    233,108,802.90x = 326,830,081.50 × 233,108,802.90
  4. Step 4: Simplify right side
    233,108,802.90x = 76,186,969,050,174,432
  5. Step 5: Solve for x
    x = 76,186,969,050,174,432/233,108,802.90
  6. Step 6: Final answer
    x = 326,830,081.50

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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.