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Finding the Fourth Proportional to 308,775,001.40, 463,162,502.10 and 265,728,280.40

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Solution

The fourth proportional to 308,775,001.40, 463,162,502.10 and 265,728,280.40 is: 398,592,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,775,001.40 : 463,162,502.10 = 265,728,280.40 : x
  2. Step 2: Convert to fraction form
    308,775,001.40/463,162,502.10 = 265,728,280.40/x
  3. Step 3: Cross multiply
    308,775,001.40x = 463,162,502.10 × 265,728,280.40
  4. Step 4: Simplify right side
    308,775,001.40x = 123,075,375,228,794,400
  5. Step 5: Solve for x
    x = 123,075,375,228,794,400/308,775,001.40
  6. Step 6: Final answer
    x = 398,592,420.60

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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.