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Finding the Fourth Proportional to 308,902,946.40, 463,347,334.80 and 155,507,810.40

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Solution

The fourth proportional to 308,902,946.40, 463,347,334.80 and 155,507,810.40 is: 233,258,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,902,946.40 : 463,347,334.80 = 155,507,810.40 : x
  2. Step 2: Convert to fraction form
    308,902,946.40/463,347,334.80 = 155,507,810.40/x
  3. Step 3: Cross multiply
    308,902,946.40x = 463,347,334.80 × 155,507,810.40
  4. Step 4: Simplify right side
    308,902,946.40x = 72,054,129,489,423,728
  5. Step 5: Solve for x
    x = 72,054,129,489,423,728/308,902,946.40
  6. Step 6: Final answer
    x = 233,258,148.97

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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.