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Finding the Fourth Proportional to 932,978,972.33, 1,287,502,505.54 and 509,592,545.48

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Solution

The fourth proportional to 932,978,972.33, 1,287,502,505.54 and 509,592,545.48 is: 703,233,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,978,972.33 : 1,287,502,505.54 = 509,592,545.48 : x
  2. Step 2: Convert to fraction form
    932,978,972.33/1,287,502,505.54 = 509,592,545.48/x
  3. Step 3: Cross multiply
    932,978,972.33x = 1,287,502,505.54 × 509,592,545.48
  4. Step 4: Simplify right side
    932,978,972.33x = 656,101,679,102,906,496
  5. Step 5: Solve for x
    x = 656,101,679,102,906,496/932,978,972.33
  6. Step 6: Final answer
    x = 703,233,083.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.