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Finding the Fourth Proportional to 269,484,802.40, 404,227,203.60 and 261,926,530.40

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Solution

The fourth proportional to 269,484,802.40, 404,227,203.60 and 261,926,530.40 is: 392,889,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,484,802.40 : 404,227,203.60 = 261,926,530.40 : x
  2. Step 2: Convert to fraction form
    269,484,802.40/404,227,203.60 = 261,926,530.40/x
  3. Step 3: Cross multiply
    269,484,802.40x = 404,227,203.60 × 261,926,530.40
  4. Step 4: Simplify right side
    269,484,802.40x = 105,877,828,932,242,400
  5. Step 5: Solve for x
    x = 105,877,828,932,242,400/269,484,802.40
  6. Step 6: Final answer
    x = 392,889,795.60

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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.