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Finding the Fourth Proportional to 233,178,337.80, 349,767,506.70 and 206,976,328.20

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Solution

The fourth proportional to 233,178,337.80, 349,767,506.70 and 206,976,328.20 is: 310,464,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178,337.80 : 349,767,506.70 = 206,976,328.20 : x
  2. Step 2: Convert to fraction form
    233,178,337.80/349,767,506.70 = 206,976,328.20/x
  3. Step 3: Cross multiply
    233,178,337.80x = 349,767,506.70 × 206,976,328.20
  4. Step 4: Simplify right side
    233,178,337.80x = 72,393,594,260,434,896
  5. Step 5: Solve for x
    x = 72,393,594,260,434,896/233,178,337.80
  6. Step 6: Final answer
    x = 310,464,492.30

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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.