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Finding the Fourth Proportional to 586,109,822.49, 878,978,077.29 and 192,545,294.34

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Solution

The fourth proportional to 586,109,822.49, 878,978,077.29 and 192,545,294.34 is: 288,756,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,109,822.49 : 878,978,077.29 = 192,545,294.34 : x
  2. Step 2: Convert to fraction form
    586,109,822.49/878,978,077.29 = 192,545,294.34/x
  3. Step 3: Cross multiply
    586,109,822.49x = 878,978,077.29 × 192,545,294.34
  4. Step 4: Simplify right side
    586,109,822.49x = 169,243,092,610,210,304
  5. Step 5: Solve for x
    x = 169,243,092,610,210,304/586,109,822.49
  6. Step 6: Final answer
    x = 288,756,622.25

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Why These Related Problems?

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