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Finding the Fourth Proportional to 978,828,580.52, 1,350,819,081.12 and 532,770,383.96

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Solution

The fourth proportional to 978,828,580.52, 1,350,819,081.12 and 532,770,383.96 is: 735,242,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,828,580.52 : 1,350,819,081.12 = 532,770,383.96 : x
  2. Step 2: Convert to fraction form
    978,828,580.52/1,350,819,081.12 = 532,770,383.96/x
  3. Step 3: Cross multiply
    978,828,580.52x = 1,350,819,081.12 × 532,770,383.96
  4. Step 4: Simplify right side
    978,828,580.52x = 719,676,400,508,796,672
  5. Step 5: Solve for x
    x = 719,676,400,508,796,672/978,828,580.52
  6. Step 6: Final answer
    x = 735,242,528.50

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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.