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Finding the Fourth Proportional to 266,923,152.40, 400,384,728.60 and 209,592,259.60

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Solution

The fourth proportional to 266,923,152.40, 400,384,728.60 and 209,592,259.60 is: 314,388,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,923,152.40 : 400,384,728.60 = 209,592,259.60 : x
  2. Step 2: Convert to fraction form
    266,923,152.40/400,384,728.60 = 209,592,259.60/x
  3. Step 3: Cross multiply
    266,923,152.40x = 400,384,728.60 × 209,592,259.60
  4. Step 4: Simplify right side
    266,923,152.40x = 83,917,539,976,606,752
  5. Step 5: Solve for x
    x = 83,917,539,976,606,752/266,923,152.40
  6. Step 6: Final answer
    x = 314,388,389.40

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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.