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Finding the Fourth Proportional to 714,167,580.48, 985,696,253.04 and 412,765,694.40

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Solution

The fourth proportional to 714,167,580.48, 985,696,253.04 and 412,765,694.40 is: 569,700,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,167,580.48 : 985,696,253.04 = 412,765,694.40 : x
  2. Step 2: Convert to fraction form
    714,167,580.48/985,696,253.04 = 412,765,694.40/x
  3. Step 3: Cross multiply
    714,167,580.48x = 985,696,253.04 × 412,765,694.40
  4. Step 4: Simplify right side
    714,167,580.48x = 406,861,598,353,533,696
  5. Step 5: Solve for x
    x = 406,861,598,353,533,696/714,167,580.48
  6. Step 6: Final answer
    x = 569,700,458.93

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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.