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Finding the Fourth Proportional to 274,719,802.40, 412,079,703.60 and 83,218,695.20

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Solution

The fourth proportional to 274,719,802.40, 412,079,703.60 and 83,218,695.20 is: 124,828,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,719,802.40 : 412,079,703.60 = 83,218,695.20 : x
  2. Step 2: Convert to fraction form
    274,719,802.40/412,079,703.60 = 83,218,695.20/x
  3. Step 3: Cross multiply
    274,719,802.40x = 412,079,703.60 × 83,218,695.20
  4. Step 4: Simplify right side
    274,719,802.40x = 34,292,735,251,994,744
  5. Step 5: Solve for x
    x = 34,292,735,251,994,744/274,719,802.40
  6. Step 6: Final answer
    x = 124,828,042.80

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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.