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Finding the Fourth Proportional to 706,316,724.34, 974,709,344.07 and 388,770,181.09

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Solution

The fourth proportional to 706,316,724.34, 974,709,344.07 and 388,770,181.09 is: 536,498,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,316,724.34 : 974,709,344.07 = 388,770,181.09 : x
  2. Step 2: Convert to fraction form
    706,316,724.34/974,709,344.07 = 388,770,181.09/x
  3. Step 3: Cross multiply
    706,316,724.34x = 974,709,344.07 × 388,770,181.09
  4. Step 4: Simplify right side
    706,316,724.34x = 378,937,928,204,209,024
  5. Step 5: Solve for x
    x = 378,937,928,204,209,024/706,316,724.34
  6. Step 6: Final answer
    x = 536,498,592.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.