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Finding the Fourth Proportional to 970,233,640.40, 1,455,413,446.20 and 511,068,616.40

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Solution

The fourth proportional to 970,233,640.40, 1,455,413,446.20 and 511,068,616.40 is: 766,636,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,233,640.40 : 1,455,413,446.20 = 511,068,616.40 : x
  2. Step 2: Convert to fraction form
    970,233,640.40/1,455,413,446.20 = 511,068,616.40/x
  3. Step 3: Cross multiply
    970,233,640.40x = 1,455,413,446.20 × 511,068,616.40
  4. Step 4: Simplify right side
    970,233,640.40x = 743,816,136,239,389,824
  5. Step 5: Solve for x
    x = 743,816,136,239,389,824/970,233,640.40
  6. Step 6: Final answer
    x = 766,636,102.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.