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Finding the Fourth Proportional to 229,941,728.80, 344,345,722.80 and 152,847,354.40

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Solution

The fourth proportional to 229,941,728.80, 344,345,722.80 and 152,847,354.40 is: 228,894,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,941,728.80 : 344,345,722.80 = 152,847,354.40 : x
  2. Step 2: Convert to fraction form
    229,941,728.80/344,345,722.80 = 152,847,354.40/x
  3. Step 3: Cross multiply
    229,941,728.80x = 344,345,722.80 × 152,847,354.40
  4. Step 4: Simplify right side
    229,941,728.80x = 52,632,332,728,935,768
  5. Step 5: Solve for x
    x = 52,632,332,728,935,768/229,941,728.80
  6. Step 6: Final answer
    x = 228,894,220.30

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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.